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Cogito

Precalculus · Chapter 3 · Lesson 1

Practice Worksheet

Vectors

A quantity with a direction attached.

11 problems · about 24 minutes · TEKS P.4.G, P.4.H, P.4.I

NameDate

Figure — use these to answer the problems

The two components are the legs; the vector itself is the hypotenuse.
adjacent = 3opposite = 4hyp = 5
x component3
y component4
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Magnitude of (9, 12)?

    Answer

  2. (1, 2) + (3, 4). x component of the sum?

    Answer

  3. Same sum. y component?

    Answer

  4. Magnitude of (3, 4)?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Magnitude of (5, 12)?

    Answer

  2. Scalar multiple: 3 times (2, 5). x component?

    Answer

  3. Is speed a vector? 1 for yes, 0 for no.

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. Magnitude of (0, 7)?

    Answer

  2. Select every quantity that is a vector.

    • Velocity
    • Temperature
    • Force
    • Mass
    • Tick every box that applies.

  3. The Sum

    (2, 5) + (6, 1). What is the x component of the sum?

    Answer

  4. The Length

    What is the magnitude of (6, 8)?

    Answer