Question

30
If a vector Ā = 27+23+3A and B = 31+6j+nk are perpendicular to each othe
then the value of n' is
​

Answer 1

Answer:

-8

Explanation:

A⃗ =2i+2j+3k & B⃗ =3i+6k+nk will be perpendicular only if their dot product is zero i.e.

A⃗ ⋅B⃗ =0

(2i+2j+3k)⋅(3i+6k+nk)=0

6(i⋅i)+2(0)(j⋅j)+3(6+n)(k⋅k)=0

6+3(6+n)=0

24+3n=0

n=−243

n=−8