Question

Vector B (with arrow above) has x, y, and z components of 6.00, 8.00, and 5.00 units, respectively. Calculate the magnitude of B (with arrow above).

______

Calulcate the angle that makes with the x axis.
____°
Calculate the angle that makes with the y axis.
____°
Calculate the angle that makes with the z axis.
____°

Answer 1

\[\left| B \right|=\sqrt{6^{2}+8^{2}+5^{2}}\]

Answer 2

\[|B| = \sqrt (6^2+8^2+5^2) = 5 \sqrt 5\]

\[\cos \theta _{x}= 6/\sqrt125\]
\[\cos \theta _{y}= 8/\sqrt125\]
\[\cos \theta _{z}= 5/\sqrt125\]

Please calculate the angles yourself by taking the arcosine of each angle on these equations as I prefer to leave things in the exact form. Just punch your calculate to find that stuff...