14. Given the three points 4(2,-1,2), B(-1,1,4), and C(4,3,-1), find: (a) the angle between RAB and Raci (b) the (scalar) area of triangle ABC, (c) a unit vector perpendicular to ABC.

Q: Find the angle between the following pair of vectors. a = (-8, -7,2) and b =(4,-5,-4) a.b cos(8) =…

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Q: A 100-meter dash is run on a track in the direction of the vector i = 4i + 3j. The wind velocity w…

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Q: 21. Given F₁ = 3î - 2ĵ+ 4k and F₂ = 5j + k, find: a. Dot product, F₁ F₂ = b. Dot product, F₂ · F₁ =…

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Q: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

Q: 4. Find the angle between each pair of vectors. Round to two decimal places as necessary. a) (V3,…

A:

Q: 22. Given vectors C = 5î - 2ĵ and D = 3î + 4ĵ, find: a. the projection of vector Conto the x-axis…

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Q: a) Find Ivl if v = -7i - 6j. Give exact value. b) Graph the vector v in the coordinate plane.

A: Solve the following

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Q: u = 57 - 5] + k and 7 = 27 + 14k.

A:

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

A: