Chapter 9: Q. 28 (page 603)

The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.
$P = (0, 0); Q = (- 3, - 5)$

Short Answer

Expert verified

The position vector is $- 3 \hat{i} - 5 \hat{j}$ .

Step by step solution

Step 1. Given Information

We are given initial point as $P = (0, 0)$ and terminal point as $Q = (- 3, - 5)$ and we need to find the position vector.

Step 2. Finding the position vector

The position vector v with initial point $(a_{1}, b_{1})$ and terminal point $(a_{2}, b_{2})$ is given by $v = (a_{2} - a_{1}) \hat{i} + (b_{2} - b_{1}) \hat{j}$ .

Substituting the values we get the required position vector

$∴ v = (- 3 - 0) \hat{i} + (- 5 - 0) \hat{j} \Rightarrow v = - 3 \hat{i} - 5 \hat{j}$

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The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.
$P = (0, 0); Q = (- 3, - 5)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the position vector

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The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.P=(0,0);Q=(-3,-5)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the position vector

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Probability and Statistics

Applied Mathematics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.
$P = (0, 0); Q = (- 3, - 5)$