Chapter 10: Q 23. (page 801)

Find $u + v$ and $u - v$ . Also, sketch $u, v, u + v$ and $u - v$ .
role="math" localid="1649572653771" $u = (2, - 6), v = (6, 2)$ ,

Short Answer

Expert verified

The required value of $(u + v) = (8, - 4) a n d (u - v) = (- 4, - 8)$

Step by step solution

Step 1. Given information.

We have given vector $u = (2, - 6), v = (6, 2)$

Step 2. Find the values of u+v and u-v.

$(u + v) = (x_{1} + x_{2}, y_{1} + y_{2}) = (2 + 6, - 6 + 2) = (8, - 4)$

and

localid="1649577561095" $(u - v) = (x_{1} - x_{2}, y_{_{1}} - y_{2}) = (2 - 6, - 6 - 2) = (- 4, - 8)$

Step 3. Sketchu, v, u+vand u-v.

The graph of vector $u + v$ .

The graph of vector $u - v$ .

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Find $u + v$ and $u - v$ . Also, sketch $u, v, u + v$ and $u - v$ .
role="math" localid="1649572653771" $u = (2, - 6), v = (6, 2)$ ,

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the values of u+v and u-v.

Step 3. Sketchu, v, u+vand u-v.

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Find u+vand u-v. Also, sketch u,v,u+vand u-v.role="math" localid="1649572653771" u=2,-6,v=6,2,

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the values of u+v and u-v.

Step 3. Sketchu, v, u+vand u-v.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Pure Maths

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find $u + v$ and $u - v$ . Also, sketch $u, v, u + v$ and $u - v$ .
role="math" localid="1649572653771" $u = (2, - 6), v = (6, 2)$ ,