Answers PrecalculusApplying Vectors in the Plane

Applying Vectors in the Plane Answers

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Let u = ⟨5, –7⟩ and v = ⟨2, 1⟩. What is u · v?

–2

Two vectors of lengths 5 and 8 have a dot product equal to –20. Which is true about the vectors?

The angle between the vectors is acute.

The angle between the vectors is obtuse.

They point in the same direction.

They point in opposite directions.

Two vectors with magnitudes of 6 and 9 have a dot product equal to –27.Find the angle between the vectors.

150°

120°

60°

30°

Which pair of vectors is orthogonal?

⟨3, –5⟩ and ⟨6, –10⟩

⟨2, –3⟩ and ⟨9, –6⟩

⟨–2, 3⟩ and ⟨–6, –4⟩

⟨–5, 4⟩ and ⟨–4, –2⟩

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