Two vectors $\vec{A}$ and $\vec{B}$ have equal magnitudes. Under what condition will their difference have the same magnitude as either of the vectors?

Identify the vector quantity among the following

If vectors $\overrightarrow A$ and $\overrightarrow B$ are $3\widehat i - 4\widehat j + 5\widehat k$ and $2\widehat i + 3\widehat j - 4\widehat k$ respectively, then find the unit vector parallel to $\overrightarrow A + \overrightarrow B$

If ${\rm{\vec A}}\,and\,\overrightarrow B$ denote the sides of a parallelogram and its area is $\frac{1}{2}AB$(A and B are the magnitude of ${\rm{\vec A}}\,and\,\overrightarrow B$ respectively), the angle between ${\rm{\vec A}}\,and\,\overrightarrow B$ is

The area of a parallelogram whose adjacent sides are given by vectors $\vec A = \hat i - 2\hat j + 3\hat k$ and $\vec B = 4\hat i + 5\hat j$ is

The area of parallelogram formed from the vectors ${\rm{\vec A}} = \hat i - 2\hat j + 3\hat k\,and\,{\rm{\vec B}} = 3\hat i - 2\hat j + \hat k$ as adjacent sides is

What is the unit vector along $\hat i + \hat j\,\,?$

A vector having a magnitude of one unit is called a:

Two vectors ${\rm{\vec A}}\,and\,{\rm{\vec B}}$ are inclined to each other at an angle θ. Which of the following is the unit vector perpendicular to both ${\rm{\vec A}}\,and\,{\rm{\vec B}}$ ?

Identify the vector quantity among the following

A vector with zero magnitude is called a: