In Exercises 13-16, use a rectangular coordinate system to plot 5 -2 -[2], V u= V = , and their images under the given transformation T. 4 (Make a separate and reasonably large sketch for each exercise.) Describe geometrically what I does to each vector x in R².

Q: Consider A = ⟨0, 4, 2⟩, B = ⟨6, −1, 0⟩ and C = ⟨3, 0, 1⟩. draw the vectors A, B, and C in…

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Q: If vector A = [4,1] and vector B = [-3,2] and A-B = [-1,-1]  Sketch the computation above and…

A: Given; vector A = [4,1] and vector B = [-3,2]

Q: 11. Tangle STUwth vertices S(-4, 2). T5. -1) and U2 (-1-5)

A: Answer

Q: A point A(-5, -3) is translated by the vector v = and then reflected about %3D the line x = 0. Find…

A: Firstly we hae to apply translation then reflection and then find the new point.

Q: ne blanks and b = -2x+9y, write

A: Given: a⇀=3x⇀-5y⇀ and b⇀=-2x⇀+9y⇀ We should write the given vector5a⇀-8b⇀in terms of x⇀ and y⇀

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

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Q: A vector has components A₁, A₂ and 43 in a right-handed rectangu The coordinate system is rotated…

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Q: Describe the graph of the equation: r = 4ti – 8j + (1 + 2t)k. [Choose the correct answer.] The…

A: It is three dimensional, so each points must have three components (x,y,z).

Q: Let m (1, 2, 3) and n (5, 3,-2). Find the vector projection of m onto n, that is, find proj- m. You…

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Q: point for the vect

A: What point is the endpoint for the vector corresponding to T(x)?

Q: Let T: R2 R be a reflection in the x-axis. Find the image of each vector. (a) (7, 6) (b) (9,-3) (c)…

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Q: Find the position vector v that corresponds to the vector graphed below. Note that each box in the…

A: Given the query is find the component form of vector.

Q: the imoge 2 Trapezoid ABCD with verices M3, 6), BO, 7). qi,4) and D(-5, 2) (4-

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Q: Determine the x, y, and z components of the unit vector in the same direction as [5,-2,-6].…

A: NOTE: Refresh your page if you can't see any equations. . the given vector is  find the magnitude…

Q: A point A(-5,-3) is translated by the vector v = , and then reflected about the line y=0. the…

A: Given that: A(-5, -3) is translated by v=<8, 0>

Q: a) Write an algebraic rule that would translate a figure 15 units right and 13 units down. (x, y) →…

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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: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: 25. Prove the following identities. Use proper form and show one step per line. tan (1-x) a) tan =…

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Q: Let X and Y be points in R³. Let P be a point on the line segment joining X and Y such that the…

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Q: Graph the vector 3 – 2i and state its argument (or direction vector) in de

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Q: a = 2 ,8 ,2 ,−2 ,−4 ,−3 ,−11, −4 ,9 ,7 and b = 8,−1 . SOLVE Ax =b for x , and write x in…

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Q: Use the figure to sketch a graph of the vector. u- V y

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Q: Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector…

A: Given point P (2,3)