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100 200 400 300 400 Dot ProductOperations with Dot Products Angle Between Two Vectors Parallel, Orthogonal, or Neither 300 200 400 200 100 500 100.

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Presentation on theme: "100 200 400 300 400 Dot ProductOperations with Dot Products Angle Between Two Vectors Parallel, Orthogonal, or Neither 300 200 400 200 100 500 100."— Presentation transcript:

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3 100 200 400 300 400 Dot ProductOperations with Dot Products Angle Between Two Vectors Parallel, Orthogonal, or Neither 300 200 400 200 100 500 100

4 Row 1, Col 1 · 23

5 1,2 Let u=, v=, and w= Find (u·v)w What is ?

6 1,3 The angle between u= and v= What is 22.2°?

7 1,4 Determine whether the vectors are parallel, orthogonal, or neither. U= V= What is orthogonal?

8 2,1 · What is 0?

9 2,2 Let u=, v= Find u·2v What is -28?

10 2,3 The angle between u= and v= What is 135°?

11 2,4 Determine whether the vectors are parallel, orthogonal, or neither. U= V= What is neither?

12 3,1 · What is -6?

13 3,2 Let u=, v=, and w= Find (w·u)v What is ?

14 3,3 The angle between u=2i-3j and v=i-2j What is 7.13°?

15 3,4 Determine whether the vectors are parallel, orthogonal, or neither. U=j V=i-2j What is neither?

16 4,1 · What is -14 ?

17 4,2 Let u= Find u·u What is 10?

18 4,3 The angle between u=4j and v=-3i What is 90°?

19 4,4 Determine whether the vectors are parallel, orthogonal, or neither. U=8i+4j V=-2i-j What is parallel?

20 5,1 · What is 0?

21 5,2 Let u=, v= Find 4u·v What is -56?

22 5,3 The angle between u=-8i+4j and v=-6i-3j What is 53.13°?

23 5,4 What is orthogonal? Determine whether the vectors are parallel, orthogonal, or neither. U= V=

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