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3. Vectors

Intro to Cross Product (Vector Product)

3. Vectors

Intro to Cross Product (Vector Product)

Open Question
For the two vectors in Fig. E1.35, find the magnitude and direction of (a) the vector product A x B
Multiple Choice
Find the magnitude and direction of the vector C =2B × A.
Open Question
For the two vectors A and B in Fig. E1.39,
find (b) the magnitude and direction of the vector product A x B
Open Question
Evaluate the cross products and A ✕ B and C ✕ D.
Open Question
Vector A ＝ 3î＋ĵ and vector B＝ 3î ─ 2ĵ ＋ 2k. What is the cross product A ✕ B?
Open Question
(I) Show that (b) î x ĵ, = k̂ , î x k̂ , = - ĵ , and ĵ x k̂ = î .
Open Question
(I) If vector A→ points along the negative x axis and vector B→ along the positive z axis, what is the direction of (a) A→ x B→ and (b) B→ x A→? (c) What is the magnitude of A→ x B→ and B→ x A→?
Open Question
(I) The directions of vectors A → and B→ are given below for several cases. For each case, state the direction of A→ x B→ . (d) A→ points straight up, B→ points straight down.
Open Question
(II) Determine (a) the vector product A→ x B→ and (b) the angle between A→ and B→ if A→ = 7.4î - 3.5ĵ and B→ = -8.5î + 4.6ĵ + 2.0k̂ . [Hint: To resolve an ambiguity, the dot product may prove useful.]