Question

if A vector = 2i + 3j + 4k and B vector = i - 2j + mk and A and B vector are orthogonal vector. find m​

Answer 1

Explanation:

Answer:

Explanation:

Here ,

A=2i+3j+4k and B=i-2j-mk

We know that,

A.B= ABcosθ

Since the two vectors are perpendicular to each other ,So θ=90°

Hence A.B=ABcos90°

A.B = 0 (cos90°= 0)

So,

(2i+3j+4k) .(i-2j+mk )=0

2+6-4m=0 ( because i.j=0 & i.i=1)

8-4m=0

m=2