Graph the vectors u = -i + 4j, v = 2i + 2j starting at the point (0, 0). a. Calculate u-v, and represent it starting at the end point of v. It should form a triangle. b. Calculate the lengths of the sides of the triangle. c. Verify that the triangle inequality is satisfied: |v| + |u-v| ≥ |u| + |u|.

Q: Let P(-2,–2,0), P,(1,0,–2), and P,(0, –4,–3) are three points of a triangle, Compute the vectors of…

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Q: Define vectors v = 3i - 2j and w = -2i + 4j. Blank 1: Find w - v. Blank 2: Find ||2v+w|l.

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Q: Given vectors u=⟨−2,−10⟩ and v=⟨−36,7⟩, find vector u+v.

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Q: For what values of h is v3 in Span{v1, V2, V3} ? Ta 2 -3, v1 v1 = 9. -7 -61 h

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Q: Consider the points P(5, −2, 3) and q(−3, 0, 2) a. Write vector |op| using unit vectors. b. Write…

A: Basics of VECTOR are used.

Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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Q: Given the points P(-2, 6, -2), Q(5, 7, 2) and R(3, 4, −1). Find the angle, 0, in degrees, that is…

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Q: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

Q: Choose x such that the following two vectors are parallel u = (-5, 7, – 9) and v = (25, x, 45)> -7…

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Q: Take any quadrilateral with vertices A, B, C and D. Let P, Q, R and S be the middle points of its…

A: Step 1 Step 2 Step 3 : Step 4

Q: For what values of c are the vectors and perpendicular?

A: we will use dot product of two vector.

Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

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Q: 1. (a) Find uxv and show that it is orthogonal to both u and v u = v = (b)The vertices of a…

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