Question 178: 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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