Question

What angle does the vector a = 3i - 4j + 5k make with the positive z axis?

Answer 1

Hello dear . here is the answer to ur question.

We can use the dot product to find the angle between the 2 vecrors.

positive z axis can be represented as k

Magnitude of vector A =
$5 \sqrt{2}$
Magnitude of vector B = 5.

Dot product = 5

5 = 5.5√2 cos x . if x is the angle between the 2 vectors

Now cos x =
$\frac{1}{5 \sqrt{2} }$