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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• If a and b are two non-collinear vectors and $x\,\mathbf{a}+y\,\mathbf{b}=0$

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• A unit vector in the $xy-$plane which is perpendicular to $4\mathbf{i}-3\mathbf{j}+\mathbf{k}$ is

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• The unit vector perpendicular to both $\mathbf{i}+\mathbf{j}$ and $\mathbf{j}+\mathbf{k}$ is

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• If $\vec{\lambda }$ is a unit vector perpendicular to plane of vector a and b and angle between them is $\theta$, then a . b will be

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