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express vector a vector = 5i-2j+5k as sum of 2 vectors such that 1 is parallel to vector b and and other is perpendicular to vector b where b = 3i+k
the scaler pdt of the vector i+j+k with a unit vector along the sum of vectors 2i+4j-5k and lambda i +2j +3k is equal to 1 find the lambda
The 2 vectirs j +k and 3i-j+k represents the tow sides AB and AC respectively of a triangle ABC.the length if the median through A is
prove it by vector methods prove that a/sina= b/sinb = c/sinc by vector method and also proff cosine formula by it
prove that b= c cos a+ a cosc by vector method
If a vector and b vector are the position vectors of A and B ,respectively ,find the position vector of a point C in BA produced such that BA =1.5 BA.
1 if the vector -i+j-k bisect the angle b/w the vector c and the vector 3i+ 4j find the unit vector in the dirn of c explain in better way
2 prove pythagoras theorem by vector method angle a is right angle u have to explain step by step also prove that unit pt of hypotenuse is equidistant from vertices
Asked byKeshav Kr1 week, 4 days agoSubject:Math
If sec2A i + j + k , i + sec2B j + k , and i + j + sec2C k are coplanar , then cot2A + cot2B + Cot2C is
a. equal to 1
b. equal to 2
c. equal to 0
d. not defined
prove by method of vectors that in a tri angle a/sinA=b/sinB=c/sinC.
let u, v,w be vectors such that u+v+w=0 u=3, v=4, w=5 find 47 costhita and u.v+v.w+w.a
2- if a= 2i-3j+4k ,b= 3i+2j-4k, c= 4i-3j+5k which is meaningful and how can we evaluate this (a.b)crossc, a cross(b crossc), a.(bcrossc) how we can solve this type of prob
explain (A)linearly dependent and linearly independent (B) coplanar and non coplanar
WhAt is right handed system?
if 3 vectors r coplaner prove that a+b,b+c,c+a r coplaner is a-b,b-c, c-a r also coplaner if yes tell me how
2 is right bisector of sides of a triangle r concurrent and internal bisectorof a triangle r concurrent is both r same or diff if diff mention their proff by vector method
Prove that the lines joining the vertices of a tetrahedron to the centroids of the opposite faces are concurrent.
Please explain briefly :
A vector a has components 2p and 1 with eith respect to a rectangular cartesian sysytem . This system is rotated through a certain angle about the origin in the counter - clockwise sense . I with respect to the new system vector a has components p+1 and 1, then
a. p =0
b. p =1,or p = -1/3
c. p =-1
d. p =1 or p =-1
if two vectors are coming towards each other , then will they be called collinear vectors ?
Prove by Vector - For Any Triangle ABC, a/sin A = b/sin B = c/sin C = 2R. (WHERE R=CIRCUMRADIUS) - [sine-rule].
If a,b,c and d are the vector quantity , then (a x b) x (c x d) is a vector
a. perpendicular to a,b,c and d
b. along the line of intersection of two planes , one containing vector a,b other containing c and d
c. equally inclined to both vector (a x b) and vector(c x d )
d. none of these
Find the area of triangle whose adjacent sides are along vectors 3j and 5k ?
When the sides of a triangle are taken in order then their resultant vector isbecause the initial and terminal points coincide.
Please explain the above line witha a diagram if possible .
Find a vector of magnitude 6,which is perpendicular to both the vectors 2i^-j^+2k^ and 4i^-j^+3k^.Pls provide me detailed solution as my ans is not matching with the given ans.
By using vector method prove that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the square of its sides.
please answer asap!!!
Three points having position vectors a,b,and c will be co-linear if
a. λa +μb =(λ+μ)c
b. [abc] =0
c. axb +bxc +cxa =0
d. axc =b
Note: a,b,c are vector quantities.
Please explain biefly.
If G is the centroid of triangle ABC ,then the value GA + GB + GC = ?
Please help soon .
thank you .
please help me, a=2i+j+k,b=i+2j+kand c=i+j+2k be three vecters. A vector in the plane of b and c whose projection on a is underroot 2/3 will be,
what is the projection of ( i + 2j+ 3k ) on ( i - 2j - 2k ) ?
Please help soon.
Thank you .
if a,b,c are non coplanar unit vectors such that vector triple product of a,b,c is (b+c)/2^1/2. then what is angle between a and b
If the vectors a = -4i +3k and b =14i +2j -5k have xame initial point then, the angle bisector d of magnitude root(6) is
a. i +j+2k
b. i -j +2k
c. i -j -2k
Please explain briefly
Using vectors ,find the value k such that points (k,-10,3),(1,-1,3) and (3,5,3) are collinear.
Is position vector always told with respect to the origin ?
If vector a = 2i+3j+3k, b =3i+j+2k, c =xi+yj+5k are the adjacent adges of a parallelopiped giving maximum volume, then x/y is equal to .....................
Please explain briefly.
this message is specially for vipin verma which always give incomplete answer vepin verma sir if u dont want to ans queries plz dont answer student query but dont do the formality and tolerating ques as i observe from 5 time u dont want to give proper and complete soln
as earlier when i remind u then u correct soln we r not ur servant that always reposting our queries u r always delaying in answering and which is always in complete
u see in this
expert in exam is the derivation of integration formula can be asked in exam and how can i answer that proof of formula
integrate ex(logsinx+ cosx)dx limit from pie by 4 to pie by 2
Asked byKeshav Kr4 days, 16 hours agoSubject:Math1Answer
Yes integrate using limits can be asked in the examination.Just go through the NCERT examples and solve the limit sum exercise.
Posted byVipin Verma(MeritNation Expert) 3 hours, 21 minutes ago
2- u see here this is alsoincomplete
Asked byKeshav Kr3 days, 16 hours agoSubject:Math1Answer
Let the vector parallel tois n( 3i + k ), and a vector perpendicular to this will be ofthe form.xi+ yj + zk.
Since these two vectors on adding gives us the vector a, we can write the following equations.
x + 3n = 5
y = -2
z+ n = 5
Now, sincevector xi + yj + zk is perpendicular to vector b, their dot product must be zero. Satisfying that condition we get this..
3x + z = 0
z = -3x
and now on sloving the above 3 equations we get
n = 2
x = -1
and z = 3
Therefore the two vectors are obtained in which 6i + 2k is parallel and -i - 2j + 3k is perpendicular to vector b.
The solution obtained can also be checked :
( 6i + 2k) + ( -i - 2j + 3k ) = 5i - 2j + 5k , which is the given vector.
Posted byVipin Verma(MeritNation Expert) 1 day, 17 hours ago
Let OPQR be a parallelogram with O as the origin. The position vectors along OP and OR are respectively. S is a point on OP which divides it in the ratio 1: 3. If SR intersects OQ in M whose position vector is then find the value of . please explain i did not understand what does it meant?
What i s direction ratis?
WHAT ARE COPLANAR VECTORS
angle between the vectors 3/7i - 6/7j+2/7k and6/7i +2/7j -3/7k is
a 30 b 45 c 60 d 15 e 90
Find the equation of the plane containing the two lines i+j+Æ(i+2j-k) and i+j+É(-i+j-2k)
How to find modulus of a vector ?
if a=b+c a and c are 3i+j+2k and 2i-2j+2k then mod a+b
a 3 b 2 c 6 d 1 e 4
A vector r vector has magnitude 14 and direction ratios 2,3,-6 .Find the directino cosines and components of r vector ,given that r vector makes an acute angle with x-axis.
if a = i+2j+3k, b= 2i-j+k, c=i+j-2k how i can verify that across(b cross c)= (a.b)c i m getingif a =across(b cross c)= -9i+3k and (a.b)c = 3i+3j-6k explain me how both r equal
2- how to cal volm of parallelopiped whose continuous edge r represented by vectors a= 2i-3j+k, b= i-j+2k, c= 2i+j+k explain the concept of this also
will 2 vectors having same magnitude but opposite direction will be regarded as parallel vectors?
aques 5 ,prove that in triangle(this ques)
the vectors a=xi +yj +zk , b=j and c are such that a,c,b form a right handed system, the vector c is
if 2i+3j-6k, 6i-2j+3k are two consecutive sides of a triangle,then perimeter of triangle is?
plz ans fast.
1- proff that a cross (across(acrossb)= (a.a)(b cross a ), 2- if a cross b= c cross d and a cross c = b cross d prove that a-d is parallel to b-c prove in depth also see under what i m asked
expert answer queries always delay caused we r nothing get advantage of clearing doubt i always get sweet talk from expert
expert its a humble request plz dont post incomplete soln as earlier vipin verma maths expert posted
if two collinear vectorsa and b are such that a=2i-4j+6k and mod b=root14 then b can be
a 2i-4j+6k b i-2j+3k c i+2j-3k d i+2j+3k e i-2j-3k
Let a,b,cbe three non zero vectors such that a+b+c=0Then kb x a+b x c+c x =0 a, where k is equal to??
Let vector a = -i -k, b = -i+j and c = i+2j+3k be three given vectors. If vector r is a vector such that r x b =c.b and r.a =0, then the value of r.b is ...............
(r, a, b, c are the vactor quantity)
If r = l(b x c) + m(c x a ) + n(a x b) and [a b c ] = 2, then l + m + n is equal to
a. r.[(b x c) + (c x a) + (a x b)]
b. 1/2 r.(a + b + c)
c. [a b c ]
Note that : r, a, b, and c are the vector quantities.
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