Find u⋅vu⋅v where θθ is the angle between uu and vv. |u|=40|u|=40 |v|=110|v|=110 θ=θ= 120∘ u⋅v=

Q: Find the angle between v and w if v · w = 1/2 ||v|| ||w||.

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Q: Let j = and i = Compute the distance from j to the line through u and the 9. origin.

A: Given that y→=-39 and u→=12. To find the distance from y→ to the line through u→ and the origin, we…

Q: ∫[(θ+3)sin(θ+3)dθ] Hint: Intergrate by parts

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Q: Let u = (2, -3, 4) and v = (-2, 1, 3). What is the dot product u v? What is the angle between u an v…

A: The given vectors  and

Q: 4. Determine the angle between v = (1, 2, 3, 4) and w = (0, -1, 4,-2).

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Q: Find u · v, where 0 is the angle between u and v. ||u|| = 100, ||v|| = 230, 0 6

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Q: Find x∈R such that vectors a = and ?=. are equivalent

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Q: Find u· v. u = i - 9j v = -5i +j u.v = 45ji

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Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v || = 64, 0 4

A: Directly use the formula for dot product of two vector and simplify the result.

Q: Find u v. u = 7i – 2j v = i - j V U V =

A: We have to find the dot product of given 2 vectors.

Q: Let be the angle between u and v. Find cos(0). cos(0) = u = [6, 5, -1], v = [1,-1, 1] Determine…

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Q: Let t be the angle between 0 and such that sin t Then cos t sin(-t) cos(-t) tant =

A: Solution ) sin t = 1/4    t = sin-1(1/4)    t = 14.48 Cos (14.48) = 0.968 Sin(-t) = - sin t Sin (-t)…

Q: Find u - v, where e is the angle between u and v. 27 |매 10, ||v|| = 17, 0 = , |u|| 3

A: Given: u→=10 ,     v→=17  Angle between both vectors is:  θ=2π3

Q: find θ, if 0 < θ < 360 and cosθ = sqrt3/2 and θ in QIV

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