# Problem: a) For the two vectors A?  and B?  in the figure (Figure 1) , find the scalar product A?B? b) Find the magnitude of the vector product AxB

###### FREE Expert Solution

Scalar product:

$\overline{){\mathbf{A}}{\mathbf{•}}{\mathbf{B}}{\mathbf{=}}{\mathbf{A}}{\mathbf{B}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\theta }}}$

Cross product:

Magnitude:

$\overline{)|\stackrel{⇀}{\mathbit{A}}|{=}\sqrt{{{\mathbit{A}}_{\mathbit{x}}}^{2}+{{\mathbit{A}}_{\mathbit{y}}}^{2}+{{\mathbit{A}}_{\mathbit{z}}}^{2}}}$

a)

The angle between A and B = (180 - 70.0°) + 30.0° = 140.0°

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###### Problem Details

a) For the two vectors A?  and B?  in the figure (Figure 1) , find the scalar product A?B

b) Find the magnitude of the vector product AxB