Question

please tell me the right answer find the vector where P is the point (5,7 ,- 1) and q's the point (2,9 - 2) Answer is =-7 i + 2j -3 k may be it's a wrong answer tell me immediately​

Answer 1

Answer:

$\vec{PQ} = ( 2 - 5 )i + ( 9 - 7 )j + ( -2 + 1 )k\\\vec{PQ} = -3i + 2j - k$

Step-by-step explanation:

We have been given,

P = ( 5 , 7 , -1 ) and Q = ( 2 , 9 , -2 )

Let point 0 be the origin whose coordinates are ( 0 , 0 , 0 ). Let i, j and k be the unit vectors on X, Y and Z axis respectively.

Therefore,

$\vec{OP} = 5i + 7j - k\\\vec{OQ} = 2i + 9j - 2k$

By Triangular law of vector addition,

$\vec{PQ} = \vec{PO} + \vec{OQ}\\\vec{PQ} = -\vec{OP} + \vec{OQ}\\\vec{PQ} = \vec{OQ} - \vec{OP}$

Hence, PQ is,

$\vec{PQ} = ( 2 - 5 )i + ( 9 - 7 )j + ( -2 + 1 )k\\\vec{PQ} = -3i + 2j - k$