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Vector magnitude

18 practice questionsIntegral CalculusStep-by-step solutions

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1

If a=5i+j−2k\mathbf{a}=5\mathbf{i}+\mathbf{j}-2\mathbf{k} and b=2i+3j+2k\mathbf{b}=2\mathbf{i}+3\mathbf{j}+2\mathbf{k}, find ∣a−b∣|\mathbf{a}-\mathbf{b}|.

A.29\sqrt{29}
B.17\sqrt{17}
C.2929
D.45\sqrt{45}
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2

If u^\hat{\mathbf{u}} is a unit vector, what is ∣u^∣|\hat{\mathbf{u}}|?

A.11
B.00
C.Undefined
D.Depends on the direction of u^\hat{\mathbf{u}}
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3

If OA→=4i+3j\overrightarrow{OA}=4\mathbf{i}+3\mathbf{j}, OB→=6i−2j\overrightarrow{OB}=6\mathbf{i}-2\mathbf{j} and OC→=2i−j\overrightarrow{OC}=2\mathbf{i}-\mathbf{j}, find ∣AB→∣|\overrightarrow{AB}| (the length of side ABAB of triangle ABCABC).

A.29\sqrt{29}
B.17\sqrt{17}
C.20\sqrt{20}
D.2929
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