Question

09 Vectors: Problem 20 (1 point) Suppose \(\vec{u} = \hat{i} - 2\hat{j} - \hat{k}\), \(\vec{v} = -2\hat{i} - \hat{j} + \hat{k}\) and \(\vec{w} = -2\hat{i} - 5\hat{j} + 5\hat{k}\). Compute the following values: \( |\vec{u}| + |\vec{v}| = \) \( |-8\vec{u}| + 7|\vec{v}| = \) \( |4\vec{u} - 4\vec{v} + \vec{w}| = \) \( \frac{1}{|\vec{w}|}\vec{w} = \) \( |\frac{1}{\vec{w}}\vec{w}| = \) Note: You can earn partial credit on this problem.

          09 Vectors: Problem 20
(1 point)
Suppose \(\vec{u} = \hat{i} - 2\hat{j} - \hat{k}\), \(\vec{v} = -2\hat{i} - \hat{j} + \hat{k}\) and \(\vec{w} = -2\hat{i} - 5\hat{j} + 5\hat{k}\).
Compute the following values:
\( |\vec{u}| + |\vec{v}| = \)
\( |-8\vec{u}| + 7|\vec{v}| = \)
\( |4\vec{u} - 4\vec{v} + \vec{w}| = \)
\( \frac{1}{|\vec{w}|}\vec{w} = \)
\( |\frac{1}{\vec{w}}\vec{w}| = \)
Note: You can earn partial credit on this problem.

09 Vectors: Problem 20
(1 point)
Suppose u⃗ = î - 2ĵ - k̂, v⃗ = -2î - ĵ + k̂ and w⃗ = -2î - 5ĵ + 5k̂.
Compute the following values:
|u⃗| + |v⃗| =
|-8u⃗| + 7|v⃗| =
|4u⃗ - 4v⃗ + w⃗| =
(1)/(|w⃗|)w⃗ =
|(1)/(w⃗)w⃗| =
Note: You can earn partial credit on this problem.

Added by Bradley C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sanchit Jain

06/01/2023

Step 1

\(|\vec{u}| = \sqrt{1^2 + (-2)^2 + (-1)^2} = \sqrt{1 + 4 + 1} = \sqrt{6}\) \(|\vec{v}| = \sqrt{(-2)^2 + (-1)^2 + 1^2} = \sqrt{4 + 1 + 1} = \sqrt{6}\) \(|\vec{w}| = \sqrt{(-2)^2 + (-5)^2 + 5^2} = \sqrt{4 + 25 + 25} = \sqrt{54} = 3\sqrt{6}\) Show more…

Show all steps

Thanks for your feedback!

09 Vectors: Problem 20 (1 point) Suppose (vec{u}=i-2j-k), (vec{v}=-2i-j+k) and (vec{w}=-2i-5j+5k). Compute the following values: (|vec{u}|+|vec{v}|=) (-|8vec{u}|+7|vec{v}|=) (|4vec{u}-4vec{v}+vec{w}|=) (frac{1}{|vec{w}|}vec{w}=) (frac{1}{|vec{w}|}(vec{w})=) Note: You can earn partial credit on this problem. 09 Vectors: Problem 20 (1 point) Suppose (u=i-2i-k), (v=-2i-j+k) and (w=-2i-5i+5k) Compute the following values [|u|+|-8|+7|= 4-4+w= -w] Note: You can earn partial credit on this problem