Consider the vectors и 3D (3,5); h = (1, c) where c is a scalar. v = (5,-3); w = (2, 1) and %3D a) Prove that u and v are orthogonal. b) Find c such that : w. h = 4. c) Find the angle between u and w.

Q: 1. Consider the vectors ū = (-1, 2), ở = (2,3) and w = (a, 3). (a) Find the resultant of ū and i,…

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Q: f vectors u=(1,1,3) and v=(2,0,1) , find a unit vector which is perpendicular to both u and v.

A: we have given two vectors u =1, 1, 3 & v= 2, 0, 1 we have to find a unit vector which is…

Q: Find the smallest angle between the vectors v = (1,1,2) and w= (2,4,5).

A: The given vectors are,

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Q: b) Consider the vectors a = 3i – 2 j +7 K, and b = -5 i +4 j-3 k, find 1- a.b 2- Angle between a and…

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Q: A vector is A=3i+7j and B vector is B=2i-5j+2k. C vector is C=A+B where ij,k are the unit vectors of…

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Q: Determine for the three vectors: x = ai+bj+ck, y = 2i+k and z = di+ej+fk where a = 2, b = -3, c = 3,…

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Q: Let u = (6, 2, 4) and v = (1, 2,0). Find: (a) d(u, v). (b) the angle 0, in radians, between the two…

A: See the detailed solution below.

Q: Consider the points I (15,8) and J (8, 7). Determine a vector, r, in the opposite direction of IJ…

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Q: 2. Find the exact angle between vectors a = 3 î - j - 2k – 18 10 b = v – w, wherev = 2î + ĵ + 4kandŵ…

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Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

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Q: Consider the three vectors u = (0, -2,3), v = (1,-4,0) and w=(-4,3,-5). a) Find the cross product…

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Q: ii) Determine whether u and v are orthogonal or not.

A: Let x = <a, b, c> Given :-  x with magnitude 3 is in opposite direction to u. -u =…

Q: b) Consider the vectors u = (2c, 2, −4), v=(c, c, 3)and w = (-1, 2, 3). Find the value(s) of…

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Q: Construct the vectors a = 3k - 2j and b = 3i - 2j and c = ax b. Compute the absolute value of the…

A: Given data : a⇀=3k-2jb⇀=3i-2j To calculate c=a×b The value a×b=ijk0-233-20

Q: Consider u, v, w € R'as u = 1 1 w = 2 Choose the vectors that have the HIGHEST cosine similarity. u…

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Q: 4. Which vector(s) below is perpendicular to ū = 2i– 3j? A. V = 27+ 25 B. W = 31+ 25 C. Ã = 5ï – 75…

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A: A vector is something that has both magnitude and direction. Like, if you are saying, someone is…

Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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Q: 1. Consider the vectors ữ = (-1,–1), ở= (1,2) and w (3, a). (a) Find the resultant of ū and ū. (b)…

A: As your question contains multiple subpart. I am solved the first 3 subpart. please repost other as…

Q: Find the angle between the vectors v and w v = (2,−3)T , w = (3, 2)T

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Q: Q2/ Answer the following: A) Express the vector P.P2 in the form of v=vi+vaj+vsk if Pi (1,2,0) and…

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