Consider the figure below. If AABC is translated using the vector (x, y) → (x - 3, y+3), then rotated 180° about the origin, what will be the x-coordinate of C'? -4A B4

Q: a = 3i - j - 4k, b = 2i +4j - 2k, c = -i +6k a. 4a - b b. b * (c - a) c. ||a * b|| d. the angle…

A: Solution : Given, a=3i-j-4k b=2i+4j-2k c=-i+6k a.) 4a-b=4(3i-j-4k)+2i+4j-2k =14i-18k b.)…

Q: 10. A Plane is flying at 45 degrees north of the x axis at 400 mph. Sketch the situation and find…

A: Drawing the given data , Plane is at "A" From the diagram the x-component is OB…

Q: Given the point D(−4, 5, 3) and A = yax + (x + z)z ay, express the D and A in: Kindly answer in…

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Q: Given vector u= (-3, 3) and v = (6, –2), determine the value of 4u + v in | component form.

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Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: Determine the vector of magnitude 7 that has the opposite direction of ū = -4î + 13ĵ – 16k.

A: We can find the required vector as below

Q: what will be the direction of -k x -i ?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: d. Find an equation (in point-normal form) of the plane containing the points K, M and N Let R be…

A: This is a question from analytical geometry, 3D geometry, and vector algebra.

Q: What vector v is given by the coordinate vector B = { 9x +4, 4x + 6 }. [3] ? B

A:

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: Find the parametric equation of the line that passes through the point P(2,4, –2) and is parallel to…

A: Parametric equation of line that passes through the point P(x0, y0, z0)& parallel to vector a =…

Q: Given the points C(-4, –5) and D(-1, 1), express the vector CD in terms of i and j.

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Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: 4. Consider the points A(1, –1, 4), B(2, – 2, 5) and O(0, 0, 0). (a) Calculate the cosine of the…

A: The given points are A(1,-1,4) and B(2,-2,5) and O(0,0,0) The cosine of the angle between two…

Q: 1. Let z1 = 2-i and z2 = 1+i. Use the parallelogram law to construct each of the following vectors.…

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Q: Write parametric equations of the line L through the point P: (2, 0, -3) and parallel to the vector…

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Q: Given vector u = (-3,2) and v = (-3, –1) , determine the value of v – 2u ir component form.

A: We can determine the component form as below.

Q: Given the points A: (-6,6,-5) and B: (3,-1,0), find the vector i AB i = <

A: Since, we have been given the points A (-6,-6, 5) and B(3,-1, 0).Our Aim is to find the vector u⇀…

Q: Put the vector c = (1, 0, 1, 0) through the three steps of the FFT to find y =Fe.Do the same for c =…

A: As per the question we are given the vectors : c = (1, 0, 1, 0)  ,  c = (0, 1, 0, 1) And we have to…

Q: Which of the following represents vector u = −7i + 4j in component form?

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Q: Transform the given vector A = 2ax + 2a, - 4a, @ x = -2, y = -3, and z = 4 to cylindrical coordinate…

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