find the distance between 2 points in a 3 dimensional plane and hence find the distance between the points p(-2,3,5) and Q(1,2,3)

Distance between two points P(x1, y1, z1) and Q(x2, y2, z2) is,
PQ = x2 - x12 + y2 - y12 + z2 - z12
so the distance between, (-2, 3, 5) and (1, 2, 3) is given by :
distance = 1 -(-2)2 + 2 - 32 + 3 - 52              = (3)2 + (-1)2 + (-2)2             = 9 + 1 + 4 = 14 units

  • 2

P(-2,3,5) Q(1,2,3)

According to distance formula:-

PQ= root (x2-x1)+(y2-y1)+(z2-z1)

=[1-(-2)+ (2-3)+(3-5)]

=[(1+2) +(-1)+(-2)]

=(3-1-2) =0

Hence the distance between the points P and Q is 0

  • 0

P(-2,3,5) Q(1,2,3)

According to distance formula:-

PQ= root (x2-x1)+(y2-y1)+(z2-z1)

=[1-(-2)+ (2-3)+(3-5)]

=[(1+2) +(-1)+(-2)]

=(3-1-2) =0

Hence the distance between the points P and Q is 0

  • 0

P(-2,3,5) Q(1,2,3)

According to distance formula:-

PQ= root (x2-x1)+(y2-y1)+(z2-z1)

=[1-(-2)+ (2-3)+(3-5)]

=[(1+2) +(-1)+(-2)]

=(3-1-2) =0

Hence the distance between the points P and Q is 0

  • -1

P(-2,3,5) Q(1,2,3)

According to distance formula:-

PQ= root (x2-x1)+(y2-y1)+(z2-z1)

=[1-(-2)+ (2-3)+(3-5)]

=[(1+2) +(-1)+(-2)]

=(3-1-2) =0

Hence the distance between the points P and Q is 0

  • 0

P(-2,3,5) Q(1,2,3)

According to distance formula:-

PQ= root (x2-x1)+(y2-y1)+(z2-z1)

=[1-(-2)+ (2-3)+(3-5)]

=[(1+2) +(-1)+(-2)]

=(3-1-2) =0

Hence the distance between the points P and Q is 0

  • 0

P(-2,3,5) Q(1,2,3)

According to distance formula:-

PQ= root (x2-x1)+(y2-y1)+(z2-z1)

=[1-(-2)+ (2-3)+(3-5)]

=[(1+2) +(-1)+(-2)]

=(3-1-2) =0

Hence the distance between the points P and Q is 0

  • 0

P(-2,3,5) Q(1,2,3)

According to distance formula:-

PQ= root (x2-x1)+(y2-y1)+(z2-z1)

=[1-(-2)+ (2-3)+(3-5)]

=[(1+2) +(-1)+(-2)]

=(3-1-2) =0

Hence the distance between the points P and Q is 0

  • 0

P(-2,3,5) Q(1,2,3)

According to distance formula:-

PQ= root (x2-x1)+(y2-y1)+(z2-z1)

=[1-(-2)+ (2-3)+(3-5)]

=[(1+2) +(-1)+(-2)]

=(3-1-2) =0

Hence the distance between the points P and Q is 0

  • 0
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