Answer to Question #244556 in Physics for Asmar

Question

Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate the magnitude

of B and the angles that B makes with the coordinate axes.

Answer 1

$$|B|=\sqrt{B_x^2+B_y^2+B_z^2}=\sqrt{4^2+6^2+8^2}=10.8.\\ \theta_x=\arccos\frac{B_x}{|B|}=68°,\\\space\\ \theta_y=\arccos\frac{B_y}{|B|}=56°,\\\space\\ \theta_z=\arccos\frac{B_z}{|B|}=42°.$$