If the vector $3\widehat{\dot{\mathbf{i}}} - 2\widehat{\dot{\mathbf{j}}} - 5\widehat{\mathbf{k}}$ is perpendicular to $c\widehat{\mathbf{k}} - \widehat{\dot{\mathbf{j}}} + 6\widehat{\dot{\mathbf{i}}}$ then $c$ is equal to

Question

Dr. Abubacker · Accepted Answer

(b)
Since, given vectors are perpendicular.
$	herefore\left( 3\widehat{\dot{\mathbf{i}}} - 2\widehat{\dot{\mathbf{j}}} - 5\widehat{\mathbf{k}} ight) \bullet \left( 6\widehat{\dot{\mathbf{i}}} - \widehat{\dot{\mathbf{j}}} + c\widehat{\mathbf{k}} ight) = 0$
$\Longrightarrow 18 + 2 - 5c = 0\  \Longrightarrow c = 4$

Q. If the vector $3\widehat{\dot{\mathbf{i}}} - 2\widehat{\dot{\mathbf{j}}} - 5\widehat{\mathbf{k}}$ is perpendicular to $c\widehat{\mathbf{k}} - \widehat{\dot{\mathbf{j}}} + 6\widehat{\dot{\mathbf{i}}}$ then $c$ is equal to

Explanation

Reviewed by Dr. Abubacker

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