Find the angle between the given vectors:  a) u=(3,4), v=(5,-12); = x1y1 +x2y2 b) u(1,1,1), v=(2,-2,4); = x1y1+2x2y2+x3y3

Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

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Q: Find the sum of the vectors (–1,4) and (6, –2) and illustrate geometrically.

A: A vector V→=a,b can be represented on the cartesian plane, From the vector law of addition,…

Q: Find vectors u and v whose initial and terminal points are given. Determine whether u and v are…

A: The u vector can be computed as: u=6-1i+11-1ju=5i+10j

Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

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Q: 5 -4 -3 -2 -1 -1 -2 -3 -4 1 2 3 u+v=< U Find the components of the addition of the two vectors u and…

A: Topic = Vector

Q: mine the (smaller) angle between the two ve Sa - 7a +4a 0 r Ф 2a + a - 3a 0 1 Ф

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Q: The cross product of two vectors u=(2, -3, 1) and v=(0, − 1, 2) is 5. O True O False

A: Here is the solution:

Q: Let J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: Which of the following pairs of vectors are perpendicular to each other? a) (4, 14, -18) and (6, 21,…

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Q: Find the vector in R³ from point A = (–4, 7, 6) to B = (–8, –5, 7). AB: =

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Q: As per attachment ,Which two vectors are parallel?

A: v1=4, 6,  v2=-3, -6,  v3=-8, 4  &amp;  v4=10, 15.

Q: Find the angle between the vectors u = (-3,1,–2) and v = (-7,-5, 2) %3D

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Q: Let = PQ, where P = (1,4), Q = (-1,5). Using the following points, which pairs form vectors that are…

A: v→=PQ→P=(1,4)Q=(-1,5)PQ→=Q→-P→

Q: find the components of the vector PQ. P = (-}, 3, 1), Q = (4, 6, 0)

A: P=-12, 92, 1,  Q=4, 6, 0

Q: Find the cross products of vectors: u=(0,-4,2) and v=(-3,2,6). Find the area of the parallelogram…

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Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

Q: Determine the angles between the following pairs of vectors. (a) (−1, 1), (0, 1)     (b) (2, 0), (1,…

A: To determine the angles between the following pairs of vectors.

Q: use the vectors u = , v = , and w = a) Find which pair(s) of vectors from that set is/are…

A: We have to check

Q: Find the area of the triangle with vertices (1, 1, 2), (2, 3, 5), and (1, 5, 5). Use vectors and…

A: Consider the given question, Let the vertices of the triangle ABC is A(1, 1, 2), B(2, 3, 5) and C(1,…

Q: Find the vector with the given magnitude and in the same direction as " M = 4; u = (-8,15) . %3D

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Q: Let a = [3, -7] and b = [-5, 11].

A: given that the two vectors a=[3,-7] b=[-5,11] To plot and check which one is greater.

Q: b) For what values of h, vector u = (h, -3, -5) can be written as a linear combination of the…

A: Vector u= (h,-3,-5)Vector v1 = (1,0,-2)Vector v2 = (-2,1,7) Vector u can be written as linear…

Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…

Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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Q: 2: True or false, the vectors u = (2, 4,-2) and U=(4, 8, -4) are parallel. Explain your answer.

A: We have given two vectors,Vectors having the same direction are called parallel vectors.Two vectors…