Prove that the ray AB union ray BA equals the line AB.

Q: 3. Vectors u and V are as shown, forming an angle of 30°. Describe the vector u x. = 5 units, and v…

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Q: a) Consider the point R(1, -3,5) and the vector . If = SR, find the point fully labeled sketch…

A: Remember : AB→=OB⇀-OA⇀

Q: 1. Given two vectors, a = nearest degree. [1, 2, 4] and b = [− 6, 0, 3] determine the angle between…

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Q: Decide if the given polar coordinates are the same.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: is the unit cube having one corner at the origin and the coordinate planes for three of its adjacent…

A: Given cube of unit length the co-ordinates of points are.A→→(0,0,1)B→→(1,0,0)C→→(1,1,0)D→→(0,1,0)

Q: 个5 ) Draw AND LABEL A A'B'C' THE IMAGE OF A ABC AFTER REFLECTION OoVER THE X-AXIS. A(2,1), 8(5,1), c…

A: Part (a) Given coordinates of vertices of triangle are A=2,2B=5,1C=4,4

Q: Find the direction angle of the vector u=

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Q: Given the four points A(0, 1, 2), B(1,2, –1), C(2, 1, 1) and D(1, (a) find the cosine of the angle…

A: (b) We have AB→=B-A=(1,2,-1)-(0,1,2)=(1,1,-3)AC→=C-A=(2,1,1)-(0,1,2)=(2,0,-1)

Q: Let a=|2 and b=| 0 5 3 a) Find the projection of b onto Span a. b) Find the cosine of the angle…

A: The projection of 'b' onto the Span of 'a' can be visualized as, This projection vector must be…

Q: 4x-2y+2z=4.   (a)  Compute the angle between these planes. (b)  Compute the line of intersection…

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Q: Define collinear points.

A: Define collinear points.

Q: If the position vectors of the points A, B, C, D are a = i +j+k, b = 2i+ 3j, c = 3i+ 5j – 2k, d= k –…

A: The position vectors of points A, B, C and D are a=i+j+k,  b=2i+3j,  c=3i+5j-2k  &  d=k-j. Now…

Q: Question 7. Find the angle between the vectors v and w: v = (2,1,3), W = = (12, 6, 18)

A: The given vectors are:.To Find: Angle between the given vectors.

Q: 6- Check if each of the following is orthogonal or not: i- A = ii - A = 1 1 [1 iii - A = 1

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Q: Describe the relationship between two planes in space.

A: Either they i) Intersect or ii) never Intersect.

Q: Given u, v and w from question 3, find (a) the angle between u and w,

A: u = (4,0,-2) and w = (2,1,6)

Q: A) Find the cosine of the angle between the lines x-2y=1 and 2x+y=3 B) Fine the cosine of the angle…

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Q: A. Determine if p=9i-6j-24k and =(-15,10,40) are parallel, orthogonal or neither. B. Determine the…

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Q: 8. Given the points A = (1, 2, 4), B = (-1, 1, 3), and C = (-3, -2, 5). Find the equation of the…

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