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Multivariable Calculus

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Moderate

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MVCALC-YLPRPV

Which of the following statements is not always TRUE?

A

$({\bf u} \times {\bf v}) + ({\bf v} \times {\bf u} )={\bf 0}$

B

${\bf u }\cdot ({\bf v }\times {\bf w })=-({\bf v }\times {\bf u })\cdot {\bf w }$

C

$({\bf u} \times {\bf v}) \times {\bf w} = {\bf u} \times ({\bf v} \times {\bf w})$

D

$({\bf u} + {\bf v}) \times {\bf w} = ({\bf u} \times {\bf w} )+ ({\bf v} \times {\bf w})$

E

If $ {\bf u}$ and ${\bf v}$ make an angle of $45^{\circ}$, then ${\bf u} \cdot {\bf v} =||{\bf u} \times {\bf v}||$