Question

If a vector 2 i  + 3 j + 8  k is perpendicular to the vector 4 j – 4  i + ∝ k, then find the value of ∝​

Answer 1

Answer:

ANSWER

A

=2i+3j+8k

B

=4i−4j+ak

Since

A

and

B

are perpendicular

A

.

B

=0

(2i+3j+8k)(4i−4j+ak)

8−12+8a=0

a=

8

4

=

2

1

Answer 2

Answer:

Given vector is i+j+k

Let another vector be xi + yj + zk

Since they are perpendicular, there dot product is 0

Therefore, x + y + z =0

Now you can put value of x , y ,z of your choice.