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Back to Exercise: Find components of a vector

Exercises: Find Components of a Vector

Work through each section in order. Show your work for all computation problems. Express component vectors in angle-bracket notation.

Grade 9·20 problems·~30 min·Common Core Math - HS Number and Quantity·standard·hsn-vm-a-2
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A

Recall / Warm-Up

1.

What does the component form of a vector ⟨vx,vy⟩\langle v_x, v_y \rangle tell you?

2.

A vector goes from point A(1,2)A(1, 2) to point B(5,6)B(5, 6). Which formula correctly finds the horizontal component vxv_x?

3.

A vector has component form ⟨−3,5⟩\langle -3, 5 \rangle. Which description matches?

B

Fluency Practice

1.

Find the component form of the vector from A(2,5)A(2, 5) to B(7,9)B(7, 9). Enter the horizontal component vxv_x.

2.

Find the component form of the vector from P(−1,4)P(-1, 4) to Q(3,−2)Q(3, -2). Enter the vertical component vyv_y.

3.

The vector CD→\overrightarrow{CD} goes from C(3,1)C(3, 1) to D(3,6)D(3, 6). What is its component form?

4.

Which statement correctly interprets the component vector ⟨4,−7⟩\langle 4, -7 \rangle?

5.

Compute the magnitude of the vector ⟨5,12⟩\langle 5, 12 \rangle. Enter the exact value.

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