Exercises for Question Type 4: Determining the unit vector of a given vector - IB | RevisionDojo

Question Type 4: Determining the unit vector of a given vector Exercises

Question 1

Find the magnitude and unit vector of $\vec v = (1,-1,1,-1)$

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Question 2

Find the magnitude and unit vector of $\vec v = \begin{pmatrix} 0 \\ 5 \\ -5 \end{pmatrix}$ .

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Question 3

Find the magnitude and unit vector of $\vec{v} = \begin{pmatrix} -5 \\ 12 \end{pmatrix}$ .

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Question 4

Find the magnitude and unit vector of $\vec v = (k,4k)$ , assuming $k\neq0$

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Question 5

Find the magnitude and unit vector of $\vec v = (1.2,-2.4,3.6)$

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Question 6

Find the magnitude and unit vector of $\vec v = (3,0,4,0)$

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Question 7

Find the magnitude and unit vector of $\vec{v} = \begin{pmatrix} 3 \\ -3 \\ 1 \end{pmatrix}$ .

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Question 8

Find the magnitude and unit vector of $\vec{v} = \begin{pmatrix} 3 \\ 4 \end{pmatrix}$ .

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Question 9

Calculations involving the magnitude and unit vector of a 4-dimensional vector.

Find the magnitude and the unit vector of the vector $\vec{v} = (2, 5, 6, 1)$ .

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Question 10

Find the magnitude and unit vector of $\vec{v} = \begin{pmatrix} 7 \\ -24 \end{pmatrix}$ .

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Question 11

Find the magnitude and the unit vector of the vector $\mathbf{v} = (2, -2, 1)$ .

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Question 12

Find the magnitude and unit vector of the vector $\vec{v} = \begin{pmatrix} 1 \\ 2 \\ 2 \end{pmatrix}$ .

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