1. Shown in Figure 3.2.11 are two vectors vị and v2 in the plane R?. Vì 2 V2 -4 2 2.

Q: Question 3. Find nonzero vector parallel to the line of 3 and intersection of the two planes -(4x +…

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Q: would the two vectors be (1 1 1 0) and then (0 0 0 1)?

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Q: 43. Explain the differences between vectors and scalars. Provide an example of each. 44. Copy the…

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Q: Find the area of the parallelogram that has the vectors as adjacent sides. AB= 6i + 6j - 6k, AD = 6i…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are find the cross product

Q: Find the area of the parallelogram determined by the given vectors. u = 6i – j + 2k, v = li + 2j -…

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Q: Question 16. Let i =i– 23+2k and ỹ= 37+43– 2k be the position vectors of X and Y. The points X, Y…

A: The solution is given as follows

Q: . Refer to vectors v and w in the figure.  a. Sketch v - w by placing the initial point of - w at…

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Q: 3) Let å = 2ỉ +j,b = 5ỉ – 4j and c = i+j are vectors in 2D, then simplify å + b + 3č

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Q: Show that the points with position vectors 4i + 5j, 3i + 3j and -3j are collinear.

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Q: 14. The vectors a and b are given below. Use these vectors to sketch each of the following. za + b…

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Q: For what values of c are the vectors [-8, c, 4] and [c, c²,c] orthogonal?

A: For orthogonal,dot product of vectors is equal to zero.

Q: Question 2 Let M = E 4ax +aa, +8a, & N = Bax + 3ay-2a₂. (i) Find a and B if the vectors M and N are…

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Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: Convert the given equation into the form of a Sturm-Liouville equation. y" +7y' + ay = 0 Write the…

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Q: 1. Sketch the vector v = (-2, 4). %3D 10f 4 2 10-8-6-4 -2 -6 -8 10 2. Sketch the vector v = 4i – 6j.…

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Q: 5.) Write the vector u=i+3j as the sum of two orthogonal vectors, one of which is in the direction…

A: Given vectors are: u=i+3jv=2i+5j

Q: 4. Which vector(s) below is perpendicular to ū = 2i– 3j? A. V = 27+ 25 B. W = 31+ 25 C. Ã = 5ï – 75…

A: Given: The vector U→=2i→-3j→, To determine: Which of the following vectors are parallel to the given…

Q: 348, 7.) x and y are vectors between them and 2, respectively, with an angle of 120° of 3x + 27. the…

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Q: The initial point of a vector is (-3, 1) and the terminal point is (2,-1). Sketch the vector on the…

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Q: The intersection of the two planes given by the vector equations -2 (2). -3 and is -4 4 -6 = -3 = 4…

A: We have to find equation of intersection of two planes.

Q: 1. For non-zero vectors, a and b, show that axb =a5-(ā • 5} . %3D

A: For non-zero vectors a→ and b→ we have to show that: a→×b→2=a→2b→2-a→·b→2 Assuming, a→=ib→=j Putting…

Q: 2. Sketch the vector v = 4i – 6j. 1아 6 4 2- 10 -8 -6 -4-2 2. 4. 6 8 10 -2 -4 -8 C0 10

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Q: to loss of precision. . Show by counterexample that it is not always true that for 3D vectors a, b,…

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Q: Find the cross products uxv and vxu for the vectors u = (3,4, - 9) and v = (- 1,-1,1). (Di+ k…

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Q: .4 Find the angle between the position vectors to the points (3,-4,0) and (-2, 1, 0) and find the…

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Q: Ifv+w= and v = [1]. C W= , compute and draw the vectors v and w.

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Q: Let u = (2,5) and v = (3,-2). Sketch u and v in standard position. Find and draw the resultant…

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Q: Q1.A. For the figure shown below, at what condition the vectors X and Y are orthogonal B -B 1 1

A: Vectors

Q: Q.5) Determine and what is the differences between the two results. Also prove that is orthogonal to…

A: We have to find the difference between the vectors A→=-i^+8j^+4k^ and B→=i^+18j^-6k^. Also, prove…

Q: are parallel, orthogonal, or Determine whether vectors V and W neither. If parallel, determine…

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Q: Use the Triangle Rule to show that the vectors as shown satisfy u + v = v + u.

A: To Determine:  Use the Triangle Rule to show that the vectors as shown satisfy a+b=b+a Given: we…