vectors-m

Related Questions

• The vector $2\,\mathbf{i}+a\,\mathbf{j}+\mathbf{k}$ is perpendicular to the vector $2\,\mathbf{i}-\mathbf{j}-k,$ if $a=$

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• Three points whose position vectors are $\mathbf{a}+\mathbf{b},\,\,\mathbf{a}-\mathbf{b}$ and $\mathbf{a}+k\mathbf{b}$ will be collinear, if the value of k is

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• If vectors $\mathbf{a},\,b,\,\mathbf{c}$ satisfy the condition $|\mathbf{a}-\mathbf{c}|=|\mathbf{b}-\mathbf{c}|$, then $(\mathbf{b}-\mathbf{a})\,.\,\left( \mathbf{c}-\frac{\mathbf{a}+\mathbf{b}}{\mathbf{2}} \right)$is equal to

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• If a, b, c are unit vectors such that $\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0},$ then $\mathbf{a}\,\,.\,\,\mathbf{b}+\mathbf{b}\,\,.\,\,\mathbf{c}+\mathbf{c}\,\,.\,\,\mathbf{a}=$

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

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