rotate the vector v = The rotation matrix R = H IT by an angle of in the CLOCKWISE direction. The rotated vector is 2 2 O O 2 2 O H O [1 2] 0 [²] O None of the above cas (0) sin (0) -sin (0) cos (0) when multiplied to a vector v, rotates v counter-clockwise by an angle 0. With this information, we want to

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A: (a) Shade the linear combination.

Q: Let z = 7 (cos (7π/9) + i sin (7π/9))  and w = 6 (cos (2π/3) + i sin (2π/3)).  If zw is expressed…

A: Introduction: A complex number has many different representations. These are the rectangular…

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Q: Use CoordinateTransformData to find the Cartesian coordinates of r 2, 0 = 30°, = 15°.Check your…

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A: Given: Given details, rf¯=rcosθ-r×u⏜ sinθ+r·u u(1-cosθ) To demonstrate the simple rotation theorem.

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Q: Find the product z₁z2 and the quotient Express your answers in polar form. 2₁ = 2(cos() + / sin()),…

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Q: nd the vector that has the same direction as <3, -1, 4) but has length 52.

A: First find unit vector of direction then multiply with given magnitude

Q: [Question 1] Let A = p cosØ)a, +sin(ø)a, +z*a¸ and B= xya, + ya, + za̟ find 1. A•Bat (2,~,- 3'6 2.…

A: Given:- A=ρ2cos (φ)aρ+sin(φ)aφ+z2 az B=xyax+y2ay+zaz

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A: The vector u has an initial point at -5, 2 and a terminal point at -7, 9. We have to find the…

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Q: B A D C

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Q: What is the magnitude of the vector cos 0 i + sin 0j +1? 00 1 O√2 02

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Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (5 cos(t), 5 sin(t), 5…

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Q: What is the location of the image of P(−8, 1)P(-8, 1) after a counterclockwise rotation of 90°90°…

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

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Q: (Question 1] Let A= p coN()a, +sin()a, +z'a, and B= xya, + y'a, + za, find 1. A•Bat (2, ", 3'6 2.…

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Q: Find the angle between two vectors a = (3, 4, 0) and b = (4, 4, 2). cos-l(끊) b. cos-() c. cos-) d.…

A: Must Know :       θ = cos-1 [ (a · b) / (|a| |b|) ]     Here :         a= &lt;3,4,0&gt;   and…

Q: Let f1 be reflection with respect to the y-axis and let f2 be counterclockwise rotation through π/2…

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