Let u = 3i + 2j and v = 5i - j. (a) Find the angle between u and v. (b) Find the component of u along v (c) Find proj, u.

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Q: True or False || u * v || = || u || || v || cos θ, where θ is the angle between u and v.

A: Given that - u*v = uvcosθ

Q: Let 0 be the angle between the vectors u = 2i + 3j - 6k and v = 2i + 3j + 6k a. Use the dot product…

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Q: 4 cos(x) = 4 cos(x)i - 4 sin(x)j -4 sin(x) u3D( )i+( ) j

A: solution is given below

Q: Find the angle between u=i_2j_2k and v=6i+3j+2k

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Q: Find the dot product v*w and the angle between v and w. v = 2i + j - 3k, w = i + 2j + 2k

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Q: Let u = 2i – 8j and v = 4i + j. Are u and v perpendicular? Why why not? %3D or

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Q: nd the angle e (in degrees) between the vector u = 5i - 3j v = -5i - 5j

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Q: Find the dot product v•w and the angle between v and w.   v=i−2j+4k​, w=3i+j+3k   v . w =?

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A: Consider the given vector a→=i+2jb→=2i+5j   Find the magnitude. a→=12+22=1+4=5   b→=22+52=4+25=29

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Q: Find the angle θ between u=2i-3j+6k and v = 2i + 5j - k.

A: cosθ=u.vuv

Q: Find the angle between u = i - 2j - 2k and v = 6i + 3j + 2k.

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Q: Find the component form of v, where  u = 2i − j and w = i + 2j. v = 1/2 (5u + w)

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Q: Find the angle 0 (in radians) between the vectors. u = cos + sin v = cos 4 + sin 4

A: Given, u=cosπ4i+sinπ4jv=cos5π4i+sin5π4j

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A: topic - vectors

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: I am attaching image so that you understand each and every step.

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Q: 6) If the force F =3i +j -5k and lever R 2i -4j +4k and torque T =F x R 26.5 , find the angle 0rf

A: Topic- Vector

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Q: Current Attempt in Progress Let a = ci + j and b = 8i + 24j. Find c so that a and b are orthogonal.…

A: The given information's are a=ci+j and b=8i+24j. Find c so that a and b are orthogonal.

Q: The vector êr and êe in terms of î and ĵ is given by êr = î cos e + ĵ sin 0, %3D and êe = -î sin 0 +…

A: True

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Q: find U.V. where is the angle between u and v 11011=80,1 vll = 220 %3D %3D

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Q: Let θ be the angle between the vectors u = 2i + 3j−6k and v = 2i + 3j +6k. (a) Use the dot product…

A: For two vectors u→, v→ in 3-space we have that:                     u→·v→=u→ v→cos θ⇒cos θ=u→·v→u→…

Q: Find the angle between u=3i+2j and v=-4i

A: Given,          The two vectors are u=3i+2j and v=-4i.

Q: Let u = 3j - 2k and v = 2i + 5k. Calculate cose where between u and v. is the angle

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Q: Find the angle between AtZB and B+.A ?where F= i+2j-3K and B = 3i-j + 2K Parallel to

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Q: If u and v are orthogonal, what is the magnitude of u × v?

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Let's find.

Q: Find the dot product v•w and the angle between v and w. v=i-k, w=i-j+k

A: here we have to find the dot product and angle between given vectors. the solutions is following.

Q: Find the length and direction (when defined) of u x v and v xu. u= 2i - 2j - k, v=i-k

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Q: Find: U.V 6 The angle between u and v. For © u=sj-3k ( v=i+j+k

A: It is vector calculation

Q: Let A = -4i – 2j + 4k and B=6i – 3j. (a) Compute cos 0, where is the angle between A and B. (b) Find…

A: We have to find

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Q: For vectors v and w E R, show that: (a) |u x v||? = ||u||2 ||v||2 – (u - v)2 (b) ||u x v|| =…

A: derive a formula for the magnitude of v×u, for nonzero vectors v,u:…

Q: Find the dot product v ~ w and the angle between v and w: v = -2i + j, w = 4i - 3j.

A: If v=ai+bj and w=ci+dj are two vectors, then their dot product is given by: v·w=a×c+b×d And,…