Question 184: Motion in 2D & Vectors

Question

Vectors $\overrightarrow A ,\overrightarrow B $ and $\overrightarrow C $ are such that $\overrightarrow A .\overrightarrow B  = 0$ and $\overrightarrow A .\overrightarrow C  = 0$. Then the vector parallel to $\overrightarrow A $ is

Accepted Answer

Vector triple product of three vectors $\overrightarrow A $, $\overrightarrow B $ and $\overrightarrow C $ is
$\overrightarrow A  	imes \left( {\overrightarrow B  	imes \overrightarrow C } ight) = \left( {\overrightarrow A .\overrightarrow C } ight)\overrightarrow B  - \left( {\overrightarrow A .\overrightarrow B } ight)\overrightarrow C $
Given: $\overrightarrow A .\overrightarrow B  = 0,\overrightarrow A .\overrightarrow C  = 0$
$ 	herefore $$\overrightarrow A  	imes \left( {\overrightarrow B  	imes \overrightarrow C } ight) = 0$
Thus the vector $\overrightarrow A $
is parallel to vector ${\overrightarrow B  	imes \overrightarrow C }$
.

Answer

$\overrightarrow A  	imes \overrightarrow B $

Answer

$\overrightarrow B  + \overrightarrow C $

Answer

$\overrightarrow B  	imes \overrightarrow C $

Answer

$\overrightarrow B $ and $\overrightarrow C $

Motion in 2D & Vectors

Vectors \overrightarrow A ,\overrightarrow B and \overrightarrow C are such that \overrightarrow A .\overrightarrow B = 0 and \overrightarrow A .\overrightarrow C = 0. Then the vector parallel to \overrightarrow A is

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