The unit vector parallel to the resultant of the vectors $\vec A = 4\hat i + 3\hat j + 6\hat k$ and $\vec B = - \hat i + 3\hat j - 8\hat k$ is
$\frac{1}{7}(3\hat i + 6\hat j - 2\hat k)$
$\frac{1}{7}(3\hat i + 6\hat j + 2\hat k)$
$\frac{1}{{49}}(3\hat i + 6\hat j - 2\hat k)$
$\frac{1}{{49}}(3\hat i - 6\hat j + 2\hat k)$
A vector is represented by $3\,\hat i + \hat j + 2\,\hat k$. Its length in $XY$ plane is
Position of a particle in a rectangular-co-ordinate system is $(3, 2, 5)$. Then its position vector will be
“Explain the meaning of multiplication of vectors by real numbers with an example.”
Given vector $\overrightarrow A = 2\hat i + 3\hat j, $ the angle between $\overrightarrow A $and $y-$axis is
What is position vector ? What is displacement vector ? Explain equality of vectors.