vectors-m

Related Questions

• If $\mathbf{a}=(2,\,\,5)$ and $\mathbf{b}=(1,\,\,4),$ then the vector parallel to $(\mathbf{a}+\mathbf{b})$ 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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• The points with position vectors $10\,\mathbf{i}+3\,\mathbf{j},\,\,12\,\mathbf{i}-5\,\mathbf{j}$ and $a\,\mathbf{i}+11\,\mathbf{j}$ are collinear, if $a=$

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• If $\mathbf{a}=\mathbf{i}-\mathbf{j},\mathbf{b}=\mathbf{i}+\mathbf{j},\,\,\,\mathbf{c}=\mathbf{i}+3\mathbf{j}+5\mathbf{k}$and$\mathbf{n}$is a unit vector such that $\mathbf{b}.\mathbf{n}=0,\mathbf{a}.\mathbf{n}=0$then the value of $|\mathbf{c}\ .\ \mathbf{n}|$ is equal to

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• If the vectors $3i+\lambda \,j+k$ and $2i-j+8k$ are perpendicular, then $\lambda $ is

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