Chapter 10: Q 27. (page 801)

Find $u + v a n d u - v$ also sketch $u, v, u + v, u - v$
role="math" localid="1649603034674" $u = (1, - 4, 6) a n d v = (2, - 4, 7)$

Short Answer

Expert verified

The required value of $u + v = (3, - 8, 13) a n d u - v = (- 1, 0, - 1)$ .

Step by step solution

Step 1. Given information.

We have given vector $u = (1, - 4, 6) a n d v = (2, - 4, 7)$ .

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

$u + v = (x_{1} + x_{2}, y_{1} + y_{2}, z_{1} + z_{2}) = (1 + 2, - 4 + (- 4), 6 + 7) = (3, - 8, 13) a n d u - v = (x_{1} - x_{2}, y_{1} - y_{2}, z_{1} - z_{2}) = (1 - 2, - 4 - (- 4), 6 - 7) = (- 1, 0, - 1)$

Step 3. Sketch u, v, u+v and u-v.

The graph of vector $u + v$ .

The graph of vector $u - v$ .

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Find $u + v a n d u - v$ also sketch $u, v, u + v, u - v$
role="math" localid="1649603034674" $u = (1, - 4, 6) a n d v = (2, - 4, 7)$

Short Answer

Step by step solution

Step 1. Given information.

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

Step 3. Sketch u, v, u+v and u-v.

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Find u+vandu-valso sketch u,v,u+v,u-vrole="math" localid="1649603034674" u=1,-4,6andv=2,-4,7

Short Answer

Step by step solution

Step 1. Given information.

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

Step 3. Sketch u, v, u+v and u-v.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Mechanics Maths

Probability and Statistics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find $u + v a n d u - v$ also sketch $u, v, u + v, u - v$
role="math" localid="1649603034674" $u = (1, - 4, 6) a n d v = (2, - 4, 7)$