dot-product

Consider two vectors $\rm \vec a = 5 i + 7 j + 2 k $ $\rm \vec b = 3i - j + 6k$ Magnitude of the component of $\vec a$ orthogonal to $\vec b$ in the plane containing the vectors $\...

For the vector $\vec{V} = 2yz \hat{i} + 3xz \hat{j} + 4xy \hat{k}$, the value of $\vec{V} \cdot (\nabla \times \vec{V})$ is _________

Consider a $$3 \times 3$$ real symmetric matrix $$S$$ such that two of its eigen values are $$a \ne 0,$$ $$b\,\, \ne 0$$ with respective eigen vectors $$\left[ {\matrix{ {{x_1}} \c...

Among the following, the pair of vectors orthogonal to each other is