Triangle  QRS  has vertices  Q(−2, 2) ,  R(−3, −4) , and  S(1, −2) .       Write the coordinate notation for a clockwise rotation of 270° about the origin.

Q: Convert 14e 3 i to rectangular form. O -7+3/7i O -7+ 7/3i O7+7/3i O -7 – 3/3i

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Q: 2 Find 4x² + 6x°) dx

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Q: plot 2 -30° and find -2 cartesian coordinotes

A: We can use the concept of co-ordinate system in order to solve the given problem.

Q: 1. Give the 2 x 2 matrix that represents the 45° clockwise rotation about the origin.

A: Solve the following

Q: Translation: 3 left and 3 up YA -5 -4 -3 -2 -1 3 2 + + -2 -3 5 1 2 3 4 SX 5X

A: Use the concept of translation and rotation of a point on the coordinate axis.

Q: Let v = (– 1, 19, 19) and w = (– 27, – 7, – 47) be ordered triples in R'. Find two scalars ci and C2…

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Q: Consider the diagram below. G Which of the following statements are correct? Select all that apply.

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Q: Give the rectangular coordinates for the point. (-10, 225°)

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Q: Find v-u. v=4i-7j and u= -9i+2j OA. -5i-5j OB. -50 O C. -36i-14j OD. -22

A: Given: v= 4i - 7j u= -9i+2j

Q: Find the component of a in the direction of b. NOTE: Enter the exact answer. a = [4,4, 4], b = [5,…

A: To find the component of a in the direction of b

Q: Reflect AB over the x-axis and rotate 90° about the origin.

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Q: 2i+3j-4k and ax1s axis. The new p

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Q: Find the dot product v • w. v = 6i + 8j, w = – 13i – 8j O A. - 78 А. О В. - 14 О С. -64 O D. - 142

A: Explanation of the answer is as follows

Q: Convert the equation p 2 to rectangular coordinates and write in standard form.

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Q: Find the length and direction of (1, –4, –5). Length is Direction is

A: See attached file for a step by step explanation to find the length and the direction of vector.

Q: Rotate the point 406° to within 10°. (-1,0) (0, 1) (0, -1) ✈ (1,0) Rotate the point -269° to within…

A: Given that the point and we rotating within 10°.