Vector $C$ is the sum of two vectors $A$ and $B$ and vector $D$ is the cross product of vectors $A$ and $B$ . What is the angle between vectors $C$ and $D$ ?

Zero

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60^{o}

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90^{o}

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180^{o}

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Solution

The correct option is C $90^{o}$
Since $\to C$ is just the sum of two vectors $\to A$ and $\to B$ respectively, it lies in the plane containing vectors $\to A$ and $\to B$ .

And $\to D$ is the cross product of vectors $\to A$ and $\to B$ .

So, $\to D$ is perpendicular to both $\to A$ and $\to B$ .

Thus, the angle between vectors $\to C$ and $\to D$ is $90^{o}$ .

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Similar questions

$\to C$ is the sum of two vectors $\to A a n d \to B$ and $\to D$ is the cross product of vectors $\to A a n d \to B$ .

\to a

\to b

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\to b \times \to c = \to b \times \to d

\to a \cdot \to d = 0 \cdot

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A

\to a \times \to b = \to c \times \to d

\to a \times \to c = \to b \times \to d

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R

If A vector = Axi, B vector = Byj, C vector = A vector + B vector and D vector = A vector × B vector, then C vector • D vector is equal to what

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