We have vectors U and V such that u|| v. If u-(5,6,7) and v=(a,-18,c), with a and c real constants, then the value of d°C corresponds to: a) 1470 b) 315 c) -54| d) -5670

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Q: 02. Approve that the area of the parallelogram spanned by the vectors a= (2, -2, 1) and c= (-8, 8,…

A: Please refer the attached image for complete solution.

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Q: Find the area of parallelogram with the vectors u = = (2, –2,0) and v = (0,–2,0) for sides.

A: The area of  parallelogram with vectors u=(2,-2,0)  and  v=(0,-2,0)  for sides is the cross product…

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Q: Let a and b be two vectors such that Jal =17, b is a unit vector, and 0= " is the angle between…

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Q: .b,č are three vectors such that a + b+ e = 0, lal = 5.6 = 3. = 8 then ä.b+ ans. -49 48 1/6

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Q: Show that if u+ v and u - v are orthogonal, then the two vectors must have the same length. What…

A: Hence the two vector u and v have same length.

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Q: Give vectors a, b, c, d such that a=5c + 3d and b= 2c - d express 2a - 3b in terms of c and d

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A: Given,

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A: In this question, the concept of scalar products is applied. Given, u→=7,1,5,-5 and v→=3,4,c,0 in R4

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A: Given, u=1,2,0v=1,-2,1 The formula for finding the angle between the two vector is, cosθ=u→·v→u→v→

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Q: 10. Which of the vectors U =, V = and W = are in the same plane?

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A: We have to give the reasons

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Q: Which vector is not collinear with [c, d]? O [2c, 2d] O(-c, -d] O [10c, 10d] O [d, c]

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Q: Assume that the vectors a, b, c, and d are defined as follows: a = (8,3) b = (6,5) c = (4, -1) d…

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