For the vector PP, , its norm satisfies PP, =2. The inscribed angles between PP, 2 2 and x-axis and y-axis are a/3 and a/4, respectively. If the coordinates of P are (1,0,3), try to compute the coordinates of P,. P2? P1 (1,0,3) х

Q: 4. Prove that the vectors a= (1,1,1); b-(1,-1,0) and e-(-1,-1.2) are orthogonal to each other! 5.…

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Q: -21 6. Find h so that the vectors 1 is in the span of the vectors 4, and -3 -0-

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Q: 4. Given 3 points: A(2, 1, 1), B(2, 2, 2), and C(4, 2, 2), compute the normal vector for the…

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Q: Suppose that u,v are two vectors such that Ju| = 3 and |v| = 4. Let 0 represent the angle between u…

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Q: 1. Answer the following for the vectors V₁ (a) Determine if V₁ € span{V₁, V2, V3}. (b) Determine if…

A: v1=101, v2=110, v3=021, v3=321

Q: Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V1, V2, V3) such…

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Q: Let* be the angle between the vectors ₁ and ₂. Let be the angle between the lines l₁ and ₂. We have…

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Q: 4

A: We are given the following vectors.

Q: 4. Given vectors: =(4,9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R².

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Q: Suppose that u, v, and w are vectors such that = 3, = -2, = 5, llull Evaluate the following…

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Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: Find the distance d between the points P₁(7, 1, 10) and P₂(−3, 10, 3) by first finding the vector v…

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Q: For what value of c is the vector v = ⟨2, -5, c⟩ orthogonal to w = ⟨3, 2, 9⟩?

A: Two vectors are said to be orthogonal if their dot product is zero.

Q: 12. Given a point P(1,-2,-4) and a point P2(3,1,-5), find a unit vector that has the opposite…

A: Step 1:Step 2: Step 3: Step 4:  thanks...