vectors-m

Related Questions

• If O be the origin and the position vector of A be $4\,\mathbf{i}+5\,\mathbf{j},$ then a unit vector parallel to $\overrightarrow{OA}$ is

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• Let $\mathbf{b}=3\mathbf{j}+4\mathbf{k},\,\,\mathbf{a}=\mathbf{i}+\mathbf{j}$ and let ${{\mathbf{b}}_{1}}$ and ${{\mathbf{b}}_{2}}$ be component vectors of b parallel and perpendicular to a. If ${{\mathbf{b}}_{1}}=\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}$, then ${{\mathbf{b}}_{2}}=$

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• If a and b are mutually perpendicular vectors, then ${{(\mathbf{a}+\mathbf{b})}^{2}}=$

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• $(\mathbf{a}-\mathbf{b})\times (\mathbf{a}+\mathbf{b})=$

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• If $\theta$ be the angle between the vectors a and b and $|\mathbf{a}\times \mathbf{b}|\,=\mathbf{a}\,.\,\mathbf{b},$ then $\theta =$

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