Two vectors $u$ and $v$ are parallel if and only if
- A$u$ and $v$ have the same direction
- B$u$ and $v$ have the opposite direction
- COne of them is a scalar multiple of the other
- DThe dot product of $u$ and $v$ is zero
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Similar Questions
$ABCDEF$ is a regular hexagon whose centre is $O$. Then, $\vec{AB} + \vec{AC} + \vec{AD} + \vec{AE} + \vec{AF}$ is equal to (in $\vec{AO}$)
Let $u$ and $v$ be two vectors in a plane. Then any vector $w$ in the plane can be written as $w = au + bv$ for some scalars $a$ and $b$ if and only if
$I$. Two non-zero, non-collinear vectors are linearly independent.
$II$. Any three coplanar vectors are linearly dependent.
Which of the above statements is/are true?
$II$. Any three coplanar vectors are linearly dependent.
Which of the above statements is/are true?
If vectors $a$ and $b$ represent two consecutive sides of a regular hexagon,then the vectors representing the remaining four sides in order are:
Difficult
View SolutionFind the unit vector in the direction of the sum of the vectors,$\vec{a}=2 \hat{i}+2 \hat{j}-5 \hat{k}$ and $\vec{b}=2 \hat{i}+\hat{j}+3 \hat{k}$.
Easy
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