Question

Use the dot product to determine whether v and w are orthogonal.

v=-i-j, w=-i+j

Select the correct choice below and fill in the answer box to complete your choice.

O A. The vectors v and w are not orthogonal because their dot product is ___

O B. The vectors v and w are orthogonal because their dot product is ___

Answer 1

B. The vectors v and w are orthogonal because their dot product is 0

Explanation:

Given that :

v= - i - j

w= - i + j

Therefore;

vw = ( - i - j ) ( - i + j )

Taking each set of integer of the vector into consideration:

vw = ( -1 × - 1) ( -1 × 1)

vw = 1 - 1

vw = 0

Hence, we can conclude that :

The vectors v and w are orthogonal because their dot product is 0