Given AUTS with coordinates U(-4,-3), T(-2,1), S(0,-2), rotate the figure 90° Counterclockwise about the origin

Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

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Q: Given the point A(2,1,-3) and B(6,-1,-5) write the vector equation and the parametric equations of…

A: Once we get vector form of the equation we can easily write the parametric form of equation of line.

Q: Vector y has an initial point of (7,-2) and a terminal point of (-1,-5). a. Find the component form…

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Q: Find the direction cosines of v =〈3, 6, −2〉.

A: Given vector is v=3,6,-2. To find the direction cosines of given vector. Solution: We know that if…

Q: The line joining two points A(2, 0) and B(3, 1) is rotated about A in anticlockwise direction…

A: The slope m of the line AB is given by        m1-03-2=1So,AB makes an angle of 45° with the…

Q: Find the angle between a and b where -6a+2b=2i+j-8k and 2a-b=3i-4j+k

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Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

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Q: 2) Given: ZRAL E LYAL, ZRLA LYLA A Prove: AR = AY R.

A: Explained below

Q: Find the image of (4,-1) obtained by translating 4 units up, followed by a reflection over the…

A: We have to find the image of (4,-1) obtained by translating 4 unit up and then reflection over y…

Q: Are the points H and L collinear? U S E H.

A: Collinear means the points which lie on the same line.  From the image, we see that H and L lie on a…

Q: Compute the product of C(90°)B(180°)A(−90°) using the points A(6,2), B(1, 2) and C(6,-3). What are…

A: Given: The product of rotations, C90°B180°A-90° and the points A6,2, B1,2 and C6,-3.   To determine:…

Q: mZM by+10 nd x and y if m/4= (6y + 10), mZ5 27 = 4xº. 1 2 3 41 74° 9-12 S 8 mZME 6 - y = 147 nsider…

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Q: Express the following points in Cartesian coordinates: (a) P(2, 30°, 5) (b) P2(1, 90°, -3) (c)…

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Q: The line joining two points A(2,0) and B(3,1) is rotated about A in anticlockwise direction through…

A: Given that the end points of the line is A=2, 0 and  B= 3, 1                 Slope of the above…

Q: Find the reflection of the point (1, 2, 3) in the point 2x+y=10

A: To find the reflection of the point (1,2,3) in the plane 2x+y=10.

Q: A child enters a carousel that takes one minute to revolve once around. The child enters at the…

A: Please find attachment for the details solution

Q: Find the center mass of the solid bounded by planes x + y +z= 1, x = 0, y = 0, and z = 0, assuming a…

A: The mass of a solid with density function ρx,y,z is given by ∫∫∫ρx,y,zdV. Here the equation of the…