5. a) Convert points P(1,3,5), T(0,–4,3), and S(-3,-4, –10) from Cartesian to cylindrical and spherical coordinates.

Q: Which statement about the linear equation 3a + 1/3 * (6a - 9) = 1/2 * (10a - 6) is true?

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Q: Find the point of the way from (1, 3, 2) to (-9, -8, 10). 0 P=0 0

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Q: Q2/ Find the instruction point of the line 3x - 2y =0 and the line passing through (-1,0) and…

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Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w= (2, -2). (Enter…

A: We want to write v in linear combination of u and w.

Q: Create 2 sets, one linearly independent and one linearly dependent, by replacing the x with a…

A: Step: 1 Linearly Dependent: - A set of vectors is called linearly dependent if at least one element…

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: The image of the point (8, 6)(8,6) under a translation is (13, 1)(13,1). Find the coordinates of the…

A: It is given that ; The image of a point  (8, 6) under a translation is  (13, 1). We have to find,…

Q: hat is the dependent variable in y= -

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Q: 5. Find symmetric equations of the line that passes through A(4, -7, -2) and B(-3, 8, 6).

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Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

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Q: Can (4,-2,4) be written as a linear combination of (1,0,1). (3,-4.1) and (4,-6,-2)?

A: We need to see if 4,-2,4 can be written as a linear combination of 1,0,1 , 3,-4,1 and 4,-6,-2 . We…

Q: What is 8,9 reflected over y-axis

A: The point (8,9) is shown in the graph,

Q: express (7,-3,1) in linear combination of (5,3,9), (-3,2,0) and (6,0,-8)

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Q: Determine if (3, -1, 4) is a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)

A: A linear combination is very significant in linear algebra. When some given vectors are multiplied…

Q: Write [0, 5, 1, -7, 0] as a linear combination of [0, 1, 2, 0, 0]; [0, 1, 0, 0, 0]; [0, 1, 0, 0, 1];…

A: We want to write [0, 5, 1, -7, 0] as a linear combination of given vectors.

Q: Find the equation (in terms of x) of the line through the points (-4,-3) and (3,11)

A: Given: To determine the equation of line through the points (-4, -3) and (3,11)