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

Question

The vector joining the points P(2,3,0) and Q(-1,-2,-4) directed from P to Q is (A) 3 hat i -5 hat j +4 hat k  (B) -3 hat i -5 hat j -4 hat k  (C) -5 hat i -3 hat j +4 hat k  (D) None of these

Tardigrade Admin · Accepted Answer

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

PQ

given by

PQ = (- 1 - 2) \hat{i} + (- 2 - 3) \hat{j} + (- 4 - 0) \hat{k}

PQ = - 3 \hat{i} - 5 \hat{j} - 4 \hat{k}

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

$3 \hat{i} - 5 \hat{j} + 4 \hat{k}$

$- 3 \hat{i} - 5 \hat{j} - 4 \hat{k}$

$- 5 \hat{i} - 3 \hat{j} + 4 \hat{k}$

None of these

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 $PQ$ given by
$PQ = (- 1 - 2) \hat{i} + (- 2 - 3) \hat{j} + (- 4 - 0) \hat{k}$
$PQ = - 3 \hat{i} - 5 \hat{j} - 4 \hat{k}$

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

3i^−5j^​+4k^

−3i^−5j^​−4k^

−5i^−3j^​+4k^