Consider the following vectors: 14 --0--0-0-0 2 W3 13 2 = 1 Enter the vector [v]g in the form [c₁, C2, C3]: 2 = = 1 6 -2 = 3 The set B = {W₁, W2, W3} is an orthogonal basis of R³. Use the dot product to compute the vector [v] of coordinates of v relative to the basis B.

Q: Find a vector with magnitude 2 that points in the opposite direction of vector AB where A(-1, -1 1)…

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Q: Find the orthogonal projection of the vector u = 5i+ 2j−8k onto the vector v = −2i+ 5j−6k

A: Given : u = 5i+ 2j−8k onto the vector v = −2i+ 5j−6k.

Q: The functions y1(t) =t² and y2(t)= t° are solutions of the homogeneous differential equation t?y" –…

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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: Let a, b, c and ij be the three dimensional vectors ä=j+5k, b=-27+6j+8k, č=57+8j, j =-67+3j Perform…

A: Given that the vectors a→=j→+5k→b→=-2i→+6j→+8k→c→=5i→+8j→y→=-6i→+3j→     .

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Q: d) Check whether the given points P(2, -3, 4), Q(-1, 2, 3), R(0, 7, 1) are collinear or not. e) Find…

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Q: Find a non-zero vector w E R4 which is orthogonal to all of the following vectors: -2 2 -2 2 0 −4 -2…

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Q: Calculate the scalar products of the following vectors: 10 1 Q-B 5 W1 -4 9 (a) V₁ = (b) V2 = (c) V3…

A: Note: As per rule I need to solve only first three subparts.

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Q: You are given the following vectors in terms of their components in the i, j, k basis: A=11+2j+-1k B…

A: Since you have posted a multi subparts question according to guidelines I will solve…

Q: Orthogonal Component: 30 38 182 38 25 38

A: From the given image , i can see that part A and i) of part B is correct so i am solving the ii) of…

Q: Consider the following vectors: 2 11 Wi = W2 = -7 W3 = 3 v = 8 The set B = {w1,W2, W3} is an…

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Q: Determine a unit vector perpendicular to the plane containing the two vectors A = 4a +4a +5a X y…

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A: Answer

Q: Which of the following statements is not true for vectors a, b and c and scalars a and B (A) a.b+a.c…

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

Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

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Q: Given the vectors A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. Determine the unit vector with…

A: This is a problem of vector Algebra.

Q: Determine the scalar triple product u (v x w) of the vectors u = i + 2j + 3k; v= -i-j+k; w = i+j+k…

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Q: Find the projection of the vector v onto the vector w if v = 2i + j and w = 6i + 3j

A: we have given v and w vectors . We have to find the projection of the vector v onto the vector w

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A: The given plane contains the three points .Now, find the vectors .

Q: Find the vector w of length 4 in the direction of v = 7i + 4j. (Give your answer using component…

A: NOTE: Refresh your page if you can't see any equations. . find the norm of the vector

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A: Solution  Find position vector

Q: Compute the scalar triple product u ( x w) of the vectors u = (0, 7, 6 (-8,0, -3), and = (3, -8,9).…

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