Question

Ask Your Teacher Given the displacement vectors A with arrow = (5.00 î − 7.00 ĵ + 5.00 k) m and B with arrow = (3.00 î + 7.00 ĵ − 3.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components.

Answer 1

Answer: $||\vec A|| \approx 9.95 m,||\vec B|| \approx 8.19 m$

Explanation:

Magnitudes can be calculated by using Pythagorean theorem:

$||\vec A|| =\sqrt{(5m)^{2}+(-7m)^{2}+(5m)^{2}}\\||\vec A|| \approx 9.95 m\\||\vec B|| =\sqrt{(3m)^{2}+(7m)^{2}+(-3m)^{2}}\\||\vec B|| \approx 8.19 m$