3. 1 V=R , cat d2= d3=1 1. 2. Tet it be Shaw that basis. Find the Ed1,22,233 in V is a Dual bose at v* = R; %3D 3. te

Q: 81. Given r = (-3, 4) and s = a. Find the product ||r|||s||. (9. – 12). b. Find r· s. c. Based on…

A: Given:r=-3,4 and s=9,-12Formula:u=u.u

Q: For what values of b are the vectors and orthogonal?

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Q: x,2,3) x ,x,1) P,(2,1,1) d ( P,(0,3,5) d (-

A: 1. P(x,2,3), Q(2,1,1), d(P,Q)=21 2. P(x,x,1), Q(0,3,5), d(P,Q)=5

Q: Duf (8,2,0) n of the Ve S

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Q: For what value of t, if any, is the vector (2, -4t) parallel to the vector (4, -1) ? -2 OAt 1 OB. 8.…

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Q: Analyze the following specific cases of addition of two vectors. Explain and make a diagram. a. 0 =…

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Q: Find the value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: When analyzing the vectorĀ = 2i – j + 3k To the sum two vectors, the first is parallel to the vector…

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Q: Let L be the line y = 6 – 4x in R?. Find vectors a and b so that v = a+tb is a vector equation for…

A: Vector equation of line

Q: Four forces act on an object such that the object is at rest. Three of the forces are given by Fi =…

A: If four forces are acting on an object such that the object is at rest, then the resultant force is…

Q: P1. 26. Given vectors A, B, and C, evaluate 3|A|C - 2B if Ax - 7 Ay - 3 Az --3 Bx - 1 By - 2 Bz - 3…

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Q: Find Vw. w = 8 ln √4x²+ 6y² + z² NOTE: Give your answer in unit vector notation; that is, in terms…

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Q: 9. Given vectors u = [- 2,6.7] and v = [3.1.–4]. determine .

A: From the given problem:   u→=-2,6,7⇒-2i+6j+7kv→=3,1,-4⇒3i+1j-4k   So,   u→×v→=ijk-26731-4

Q: Solve for A, B and c using Jacobi's iteration. Use [0, 0, 0] as a starting vector and terminate…

A: Kindly follow the explanation

Q: at Q6:- If w = xi + yj + zk nonzero vector. Then show that cos a + cos? B + cos? y = 1, where a, B…

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Q: 8. 3) Let Ax b where A =6 5,b 28. Is the vector b in the column l14] [2 12 4. space of A? Justify…

A: The solution is given as

Q: 1. Which of the following is true about 2 equal vectors u and v in R? I. u and v have the same…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the vectors T, N, and B at the given point. 16 (t) = (2, 룰,t), (4,-1, -2) T= N = B = 481 9'9'9…

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Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: 4.18. Given vectors u = 3j – - 6k and v = 6i – 4j – 2k, find the dot product of u and v.

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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 a unit vector with positive first coordinate that is orthogonal to the plane through the points…

A: Given that the points P-2,-3,-1 Q3,2,4andR3,2,7  .

Q: Prove the identity: tanx+ cosx = secx 1+sinx

A: Solution

Q: B: 1. Find (1+ i)® 2. Find the area between the vectors A = 2i – 2j + k , B = 3i + 4k

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Q: 2.4 Let u = -j +3k and v = 2i – k, find a unit vector that is orthogonal to the plane containing…

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Q: 3.10. Rotate the vectors by 30%. *:[],三闾

A: We have to Rotate the given vectors by 30°.

Q: 123 2 3 5 is all vectors e column space of A 246 bi b 3= by ER such that by O a. by= by Ob. 2by b…

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Q: Sta. P.T. of a compound curve is at 15 + 480.14. Intersection angle of the first curve I sub 1 = 30…

A: