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FIND A UNIT VECTOR IN THE DIRECTION FROM POINT P(1,-1,2) TO POINT Q(-1,1,1)

FIND A UNIT VECTOR IN THE DIRECTION FROM POINT P(1,-1,2) TO POINT Q(-1,1,1)

Grade:11

2 Answers

Arun
25763 Points
3 years ago
Dear Ganesh
 
first find out the vector from P to Q
 
vector PQ = ( – 1, 1, 1) – (1, – 1, 2) =  – 2i + 2j  – k
 
hence unit vector = – 2i + 2j  – k / (sqrt(4 + 4 + 1)) = (– 2i + 2j  – k )/ 3
 
Regards
Arun
Rajdeep
231 Points
3 years ago
Hello Ganesh,
 
Given points are:
Initial Point: P(1, -1, 2)
Final Point: Q(-1, 1, 1)
 
Hence, unit vector in the direction P->Q is
(-1-1) i + [1-(-1)] j + [1-2]k
= -2i + 2j – k
 
Thanks!

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