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Q. The vector joining the points $P(2,3,0)$ and $Q(-1,-2,-4)$ directed from $P$ to $Q$ is

Vector Algebra

Solution:

Since the vector is to be directed from $P$ to $Q$. Clearly, $P$ is the initial point and $Q$ is the terminal point. So, the required vector joining $P$ and $Q$ is the vector $P Q$ given by
$P Q=(-1-2) \hat{i}+(-2-3) \hat{j}+(-4-0) \hat{k}$
$ P Q=-3 \hat{i}-5 \hat{j}-4 \hat{k}$