Question

If a=i-j+2k and b=-i-2j+k then find the angle between them

Answer 1

Hope this helps you !!!!!!

Answer 2

Heya!!

To find angle between these two vectors let's calculate it's dot product.

i,e a . b

=>

a . b = | a | × | b | × Cos ( x )

Where x angle between them.

EXP:-

| a | = √6 And | b | = √ 6

a .b = 3

=>

3 = √6 × √6 × Cos ( x )

3/6 = Cos ( x )

Cos ( x ) = 1/2

Cos ( x ) = Cos ( 60° )

x = 60°

Hence, Angle between these two vectors is 60°

Have a nice time.