Where M, N, and P are the midpoints of the sides of  triangle RST and C is the centroid of the triangle, it follows that RC = CM. a. True            b.False

Q: 1. Given the points P(5, 3, - 4) and Q(7 - 1, - 3), find the following: a. the vector PO b. PQl

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Q: firmdis a. A. vector.arthegenal.tr.uxv.and.xw. b. A.vecter.orthog anal.tra. aun d. .c…

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Q: 1. AB and CD are parallel and 15 centimeters apart, mZBAC = 58° and %3D is the reflection through AB…

A: Note:- As per our guidelines, we can answer the first three sub-parts of this problem. You can…

Q: LG, CF, and AU are concurrent.

A: According to the question, To show that LG, CF, and AU are concurrent, we will use the theorem…

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 100, ||v|| = 230, 0 6

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Q: Suppose that lul = 6 and 11 = 2, and that u v = -8. Find the angle 0 between the vector u and v,…

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Q: I. Find the lengths of vectors u and v. Find the angle between ū and v. 1. u = √ = 123' 2. 2 √ = 234

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Q: Find the dot product v•w and the angle between v and w.   v=i−2j+4k​, w=3i+j+3k   v . w =?

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Q: 80. Given v = -2li + 33.6j and w = 5i – 8j, a. Find the angle between v and w. b. Are the vectors…

A: We have given two vectors v=-21i+33.6j and w=5i-8j. First we have to find the angle between v and w.…

Q: Sketch the vector field in the plane along with its horizonta and Vertical a representative…

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Q: Convert the point (p, 0, þ) = (2V2, 4' 6 2v2. 플, 증) to rectangular coordinates (x, y, z). What is…

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Q: Q.4) If a = 3i+j-k, b=2i-j+kand c 5i + 3k, find (2 a +b).c.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

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Q: Find the dot product v*w and the angle between v and w. v = i + j, w =i + j - k

A: Given: v=i+jw=i+j-k To Find: The dot product of vector v and w and the angle between v and w.

Q: Find the projection of v

A: Here v→=2i^-2j^    and w→=-3i^+j^

Q: 6. The points A(8, 3, 2); B(4,-1,2) and C(0, 3, 2) formed what kind of triangle?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the length and direction (when defined) of u x v. When : u = 2i +2j -k; v = -i + k;

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Q: The angle between (0, –6, 2) and (4, 8, 7) is: O A. orthogonal - O B. acute.

A: We will use geometric definition to determine the angle.

Q: For a parallelogram with vector sides a = [1, 3, 7], b = [2, 1, 5], and c = [3, 1, 1] find the…

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Q: Given the vectors v =i+ 3j – 2k and w = 3i – 4j + k. Find the area of the parallelogram with sides…

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Q: For the following, let u = (3, –6) and v = (2, 1) %3D a. Find u + 3v b. Find the angle between the…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Let v = 2 1 - 3 + 5k, and u = -2 i + 3j - 5k, Calculate vll, ull, Ilv • ūll, and 8 (the angle…

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