vectors-m

Related Questions

• If $(x,\,\,y,\,\,z)\ne (0,\,\,0,\,\,0)$ and $(\mathbf{i}+\mathbf{j}+3\,\mathbf{k})\,x+(3\,\mathbf{i}-3\mathbf{j}+\mathbf{k})\,y$ $+(-4\mathbf{i}+5\mathbf{j})\,z=\lambda \,(x\mathbf{i}+y\mathbf{j}+z\mathbf{k}),$ then the value of $\lambda$ will be

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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, b and c are unit vectors such that $\mathbf{a}+\mathbf{b}-\mathbf{c}=0,$ then the angle between a and b is

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• If $\mathbf{a}\ne \mathbf{0},\,\,\mathbf{b}\ne \mathbf{0},\,\,\mathbf{c}\ne \mathbf{0}$, then true statement is

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• If a, b, c are position vector of vertices of a triangle $ABC$, then unit vector perpendicular to its plane is

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