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Syllabus

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.

If sec

^{2}A i + j + k , i + sec^{2}B j + k , and i + j + sec^{2}C k are coplanar , then cot^{2}A + cot^{2}B + Cot^{2}C isa. 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

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

Q.

Prove that the lines joining the vertices of a tetrahedron to the centroids of the opposite faces are concurrent.

( 1+(mod a )

^{2}) ( 1+ (mod b)^{2}) = (mod ( 1-a.b))^{2}+ (mod ( a+b+a*b))^{2}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

px((x-q)xp) + qx((x-r)xq) + rx((x-p)xr)=0 then x is given by.......

A](p+q+r)/2

B](p+q-2r)/2

C](p+q+r)/3

D](2p+q+r)/3

Prove by Vector - For Any Triangle ABC, a/sin A = b/sin B = c/sin C = 2R. (WHERE R=CIRCUMRADIUS) - [sine-rule].

Find the area of triangle whose adjacent sides are along vectors 3j and 5k ?

then the angle between a and c

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!!!

A] a,b,c are non-coplanar

B]b,c,d are non co-planar

C]b,d are non parallel

D]a,d are parallel and b,c are parallel

plsgive explaination too for ur choice

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,

If G is the centroid of triangle ABC ,then the value GA + GB + GC = ?

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

Using vectors ,find the value k such that points (k,-10,3),(1,-1,3) and (3,5,3) are collinear.

the vector a x(b x c),b x(c x a) and c x(a x b)are a)coplanar b)collinear c)non coplanar d)non colliear ???/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 e

^{x}(logsinx+ cosx)dx limit from pie by 4 to pie by 2Asked 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

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

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

y = -2

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

Q.3 Let $\overrightarrow{\mathbf{a}}\mathbf{,}\overrightarrow{\mathbf{b}}\mathbf{,}\overrightarrow{\mathbf{c}}$ be three unit vectors such that $3\overrightarrow{\mathbf{a}}+4\overrightarrow{\mathbf{b}}+5\overrightarrow{\mathbf{c}}$ = 0. Then which of the following statements is true ?

(a) $\overrightarrow{\mathbf{a}}$ is parallel to $\overrightarrow{\mathbf{b}}$

(b) $\overrightarrow{\mathbf{a}}$ is perpendicular to $\overrightarrow{\mathbf{b}}$

(c) $\overrightarrow{\mathbf{a}}$ is neither parallel nor perpendicular to $\overrightarrow{\mathbf{b}}$

(d) none of the above

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)

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

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

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

(a.i)i+(a.j)j+(a.k)k=???

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)

Ans. 9

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?

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 ]

d. none of these

Note that : r, a, b, and c are the vector quantities.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 2i+3j-6k, 6i-2j+3k are two consecutive sides of a triangle,then perimeter of triangle is?

plz ans fast.

ans:sqr ^74+14