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Addition of vectors

Vectors u a...

Question

Vectors $u$ and $v$ are given by $u = (2, 0)$ and $v = (- 3, 1)$ . What is the length of vector w given by $w = - u - 2 v$ ?

A

10

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B

6

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C

\sqrt{26}

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D

2 \sqrt{5}

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E

2

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Solution

The correct option is D $2 \sqrt{5}$
Given, $u = 2 i$ and $v = - 3 i + j$
$∴ w = - u - 2 v$
$= - 2 i - 2 (- 3 i + j)$
$= - 2 i + 6 i - 2 j$
$= 4 i - 2 j$
Length of vector $w$ is $\sqrt{4^{2} + 2^{2}}$
$= \sqrt{16 + 4}$
$= \sqrt{20}$
$= 2 \sqrt{5}$

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Similar questions

u

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