TAKE HOME
1. Find the angle between the vectors:
i-23 + 5k and 3i+j - 2k

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

          and

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

              ∝ = cos⁻¹(0.4392) = 63.947

Final -

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

sorry not sure

step-by-step explanation:

ou would have 12 of each