3. Given the vectors u = (1, –6, 2) and v = (-2, 1, 3). Find the following: a. |u+ v|| b. (u+ v) · (u + v) c. angle between u and v d. d(u, u – v)

Q: Find the angle 0 between the vectors. u = (1, 1, 1), v = (7, -6, 5), (u, v) = u1Vı + 2u2v2 + U3v3…

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Q: Find the area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8) А: 30 B: 40 С:35 D:45

A: Given: Vertices of triangle          P0,1,4O-5,9,2R7,2,8…

Q: nd the angle between vectors. Show work →        →      →        → w   = −3? + √3? and ? = ⟨√3, −3⟩…

A: To find the angle between two vectors. a →=−3i+3jb →=3i−3j

Q: Given the vectors u, v, and w, A. -8-8-8 = 剧 b 2w. = a Determine values for a, b and c so that the…

A: Here the given vectors are u→=a-1-1, v→=2b2,w→=0-1c. We shall find values of a, b and c so that the…

Q: Let A = (4, –4,4, 0) and B = (-4,3, –4, 1) be points in R*

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Show that the points with position vectors 4i + 5j, 3i + 3j and -3j are collinear.

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Q: For the pair of vectors u and v, find the following: u = (-4,4,7), v = (2, -6,3) a. The angle (in…

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Q: Let u = -3) and v=(5, -2) and w= = (-6, -4). Fin (2, -3)

A: Givenu=2,-3,v=(5,-2),w=(-6,-4) The objective is to find the angle between the vectors 6) angle…

Q: Q9: Showthat triangle ABC is right at A where A(1,0,1), B(2,1,0), c (1, 2, 3).

A: Question No. (9):To show that triangle ABC is right at A where . Note: Since the student has posted…

Q: Given the following vectors: u=(1,2-4) and v=(2,3,5) find u.v and u.u and (u.v)v

A: Given vectors are u=1,2,-4 and v=2,3,5. To find u·v, u·u and u.vv Solution: Let us suppose two…

Q: 1. (25%) Let Po = (0,0,0), P1 vectors connecting points Po, P and Po, P2, respectively; (a) Find the…

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Q: 3. Given (3, 10,-8) and v = (-1,6,4), b) find a unit vector in the same direction as v-u

A: The given problem is to find the unit vector in the same direction of the vector v-u. Given vectors…

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: 4. For the vectors (2, 1) and = (1, 2) Find the dot product u · v, and the angle 0 between the two…

A: According to the given information, it is required to calculate the dot product and angle between…

Q: 2.) Find the angle, 0, between the vectors v = (5, 3) and u = (4,-7) by using the dot product. Round…

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Q: -8 Find the area of the triangle which is defined by vectors u = and v = -3 Area =

A: Solve the following

Q: draw a set of x-,y-, z- and axes and plot the following position vectors (including rectangular…

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Q: 13. The angle between the vectors and .

A:

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

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Q: B side of cube = 10 cm (A. B); (C. D); (E.G);(G.B) ? (Ex F); (A x G) dan (Cx F) ? 2. what is the…

A: From the given figure we get A→ = 10i+10k B→ =10iC→ =5j+10kD→=5i +10kE→ =10i+10jF→=10kG→=10i+10j+10k…