33-36 - Angle Between Two Vectors Find the angle between u and v, rounded to the nearest tenth degree. 33. u = (2, –2, –1), v = (1, 2, 2) 34. u = (4, 0, 2), v = (2, –1, 0) 35. u = j+ k, v = i+ 2j – 3 k 36. u = i+ 2j - 2k, v = 4i - 3k

Q: 6) Let u = (-6,2,–1) and v = (3, 2,4) %3D a. What is the angle between u and v? b. Find a vector w…

A: Here we find angle , perpendicular vector and area of triangle

Q: 4. If Ā = 5i+ 4j + 2k, B = 4i- Sj + 3k, and C = 2i-j- 2k, where i, j, k, are the unit vectors,…

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Q: u = (5,-1, 2) and v = (2,-1,-3) Compute the following: a.) v b.) lul c.) uv d.) projuv e.) The angle…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: i,- (0. 금·금·0). 화 ( Also, let W-C(li, ia) and %3D Let the vectors ü = (40, 5, 40, 25) E R*. So, the…

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Q: The points A, B, C, D, E, F, G, and H are the eight corners of a rectangular box. ABCD is its…

A: 1st we need to find all points and then using dot product ( scaler product ) of vector to find…

Q: 6. Use the vectors to find the indicated quantity. a. Find 3u-v, u=(5, 7>, and v = (-5, 2> %3D b.…

A: Given that,  u = <5, 7> and v = <-5, 2> If x = <a, b> and y =<c, d>are two…

Q: 4. Find a vector that points in the opposite direction as ā =(-3,-14,2) with a magnitude of 32. 5.…

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Q: The angle between two planes is the smallest angle 0 between the normal vectors of the planes, where…

A: To find the angle between two planes

Q: 9. Given vectors u = [- 2,6.7] and v = [3.1.–4]. determine .

A: From the given problem:   u→=-2,6,7⇒-2i+6j+7kv→=3,1,-4⇒3i+1j-4k   So,   u→×v→=ijk-26731-4

Q: 7.) Let u = (3,1), v = (-8,4) and w = (-6,-2). Find the magnitude of each vector: a) -2(w+ 2u) 2 - -…

A: Here we find the magnitude vector.

Q: Find the angle θ between the vectors. (Round your answer to two decimal places.) u = (0, −4),    v…

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Q: 16. If vectors A and B are opposite vectors and the magnitude of A is 5, what is the magnitude of B…

A: Magnitude either positive or zero

Q: 1) Find the angle between the (2) vectors. V, = (0, 0); starting point, and (4, 7); end point and V,…

A: Let starting point is (0,0) and end point is (4,7)  then vector v1 = <4-0, 7-0> = <4,7>…

Q: (3.) The distance of two vectors x and y, dist(x, y) =|| x-y ||= /(x – y, x – y). (a) Find dist(x,…

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Q: 18) If u = 5i +3j and v=-2i-j then find |20-3u|| = Answer u =,v=, round to 4 decimal paces 19) Find…

A: (18)  Given  To find    (19) Given

Q: Find the angle θ between the two vectors u = (1, 2, 1) and v = (2, 1, −1).

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Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

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Q: 17. Let ú and v be two vectors with = ū x i = 2 and u· i = -2 the angle 0 between u and v.

A: Find the angle between two vector

Q: 1-2 - Let u = (a,, az) and v = (b, b;) be nonzero vectors in the plane, and let 0 be the angle…

A: Given vectors - u = a1i+a2j               ...........(1)v = b1i+b2j             ...........(2)Part…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: Consider the two-dimensional vectors a and b. a = ,  b = Find the measure of the angle ? between a…

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Q: (ii) Given points P (1,-3,5), Q (2,4,6) and R (0,3,8), find; 1- The position vectors of P and R. 2-…

A: For solving this question we use the distance formula between two points to find the distance…

Q: ind the angle between the vectors u=, v=

A: Given that u=1,1, v=-5,3To find :Angle between two vectorsSolution…

Q: In Exercises 9–16, find the component form of the vector.

A: Given: P=1,3, Q=2,-1 we know that vectorAB→, where A=x1,y1, B=x2,y2 is given by  AB→=x2-x1i+y2-y1j…

Q: 2) Let u = (1,–2, 1) and v = (3,0, 5) a. What is the angle between u and v? b. Find a vector w that…

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Q: The initial point of two vectors is A(4, 4, 2) and the terminal points are B(2, 6, 3) and C(o, 4,…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: To find the unit vectors that satisfies the given conditions.

Q: ū = (8, –4, 1), and w = (1,0, 1). %3| Find the following. (a) the angle between i and w, (b) two…

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Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

A: On solving this we will get

Q: 15–18 Find the angle between the vectors. (First find an exact expression and then approximate to…

A: 18) Given,  a=i→+2j→-2k→b=4i→-3k→ cosθ=a→.b→a→b→ a→.b→=i→+2j→-2k→.4i→-3k→      =4+0+6a→.b→=10…

Q: (3.) The distance of two vectors x and y, dist(x, y) =|| x-y ||= / (x – y, x – y). (a) Find dist(r,…

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Q: Find a unit vector perpendicular to c = (3, 4, −7) and d = (−1, −1, 3)

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Q: 1. If vectors u (3, 3), v-( 13. -7), and 2w +3u-v%3(4,-4) what is the coordinate of vector w?

A: Topic = Vector

Q: 7. Given the vectors v1 = (1, –1, 1), v2 = (1, 1,0) and v3 = (2,0, 0). Find lengths of the vectors.…

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Q: 1. Given vectors u = 21-4ĵ- 3k and = (3,-1,2) and points A(3, -4, 2) and B(6, 3, -2), find if…

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Q: 6. Find the unit vector in the same direction as v. If u -(-12,8) and v-(-5,-12), find: O O O O…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: To find the unit vectors that satisfies the given conditions.

Q: (3.) The distance of two vectors x and y, dist(x, y) =|| x-y ||= / {x – y, x – y). (a) Find dist(r,…

A: We just expand the inner product and show that inner product of x and y is zero, which imply x and y…

Q: Find the angle between the vectors (approximate to the nearest degree): u = [0, 1, 1] and v = [1, 2,…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: 4. Find a vector that points in the opposite direction as ā = (-3,–14,2) with a magnitude of 32. 5.…

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Q: -4) and R(6, –2, –5) is right-angled. 1.5 For what values of b are the vectors and orthogonal?

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Q: (3.) The distance of two vectors r and y, dist(r, y) =|| x–y ||= /(r – y, x – y). (a) Find dist(r,…

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Q: 1. The unit vector in the same direction as (-5, 4) is 2. The unit vector oppositely directed to –i-…

A: Unit vector consists of only direction and magnitude of 1.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: For solving all above parts we have to use concept of unit vector.

Q: (3.) The distance of two vectors x and y, dist(x, y) =|| x-y ||= V (x – y, x – y). (a) Find dist(r,…

A: Two vectors are orthogonal if its inner product is zero.  dis (x, - y) =||x+y|| ||x+y||2=<x+y,…

Q: 28–31. Vector operations Let u = (3, –4), v = (1,1), and w = (-1,0). Find two vectors parallel to u…

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