Question

Find the magnitude of D=7i-3j-2k,, E=4i+5j-3k

Answer 1

By definition, the magnitude of any vector is given as follows:

$$|A| = \sqrt{a_x^2 + a_y^2 + a_z^2}$$

where $a_x,a_y, a_z$ are corresponding Cartesian components of the vector.

Thus, obtain:

$$|D| = \sqrt{7^2 + (-3)^2 + (-2)^2}\approx 7.9\\ |E| = \sqrt{4^2 + 5^2 + (-3)^2}\approx 7.1$$

Answer. 7.9 and 7.1.