If overrightarrow A times overrightarrow B | vedclass

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Question

(d)From the property of vector product, we notice that $\overrightarrow C $ must be perpendicular to the plane formed by vector $\overrightarrow A $ a

Vedclass · Accepted Answer

$\overrightarrow C \, \bot \,(\overrightarrow A  	imes \overrightarrow B )$

Vedclass · Answer

(d)From the property of vector product, we notice that $\overrightarrow C $ must be perpendicular to the plane formed by vector $\overrightarrow A $ and $\overrightarrow B $. Thus $\overrightarrow C $ is perpendicular to both $\overrightarrow A $ and $\overrightarrow B $ and $(\overrightarrow A  + \overrightarrow B )$vector also, must lie in the plane formed by vector $\overrightarrow A $ and $\overrightarrow B $. Thus $\overrightarrow C $ must be perpendicular to $(\overrightarrow A  + \overrightarrow B )$ also but the cross product $(\overrightarrow A  	imes \overrightarrow B )$ gives a vector $\overrightarrow C $ which can not be perpendicular to itself. Thus the last statement is wrong.

If $\overrightarrow A \times \overrightarrow B = \overrightarrow C ,$then which of the following statements is wrong

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