If p is a point in a 3D space represented as a quaternion having he first coordinate equal to zero, and q is a rotation quaternion. Which of the following expressions represents the image of p under the rotation by q? 0 0 0 0 pq qp -1 pqp qpq -1

Q: Plot (-6, - 3π/4) and (-6,5π/4) on the same polar plane.

A: We have to plot the polar graph

Q: Find the angle of rotation and eliminate the x-y term 4x2 - 4xy + y2 - 6x + 12 = 0

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Q: If a rotation quaternion is [0.866, 0.162, 0.382, 0.279], which of the following quaternions is its…

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Q: Express the given complex number in polar form z= -5+5j. Answer: 3TT a. 5/2cjs () b. 5/2cjs () c.…

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Q: If a rotation quaternion is [0.866, 0.162, 0.382, 0.279], which of the following quaternions is…

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Q: Write an expression z= √3 - i for in polar form.

A: z=3-i            .............(1)

Q: The point M is (2,5) and the point N is (-3,-1). The line segment MN is transformed to the line…

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Q: Determine in polar form the three roots of -27V2+j27/2 O 32 44, 3V2, 3V2 O 3V2 2 , 3V2 , 32 none of…

A: Solution

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: Let Z1 = 16 – 10i and Z2 = -24 + 15i. Determine 5Z1-3Z2 (7,Z2) in polar form. COMPLETE THE MISSING…

A: The given problem is to evaluate the given complex term and also convert it into the polar form, we…

Q: All the polar coordinates of the potnt are: (o (4승+2nn) and (0)(4승+2nm) and + 2nn (e) None (o(+동+…

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Q: Answer: a. 4cjs () b. 4cjs () c. 4cjs () d. 4cjs ()

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Q: Let -4 -1 7 -11 3 -1 A 13 -1 1 -3 13 -1 1 -3 Find orthonormal bases of the kernel and image of A.…

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Q: Determine whether v = 3i - 5j and w = 6i - 10j are parallel,orthogonal, or neither.

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Q: Section 1 - Question 16 What are the coordinates of AABC after a rotation of 180° ab A A (3, 1); B'…

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Q: b. The complex numbers z, and z2 are given by z = V3 + V3i and zz = V3-i Plot the points…

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Q: Quadrilateral QUAD with vertices Q(-4, 2), U(-2, 1), A(0, -2), and D(-5, -4); 90° counterclockwise…

A: Here we draw the quadrilateral QUAD and after after rotation Q'U'A'D'.

Q: Refer to the vectors m through t at the right. Name all pairs of vectors where the first is a scalar…

A: Let, a = mb, where a and b are two vectors and m is any scalar constant.  If, m > 0 then a and b…

Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

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Q: Which of the following letters has rotation symmetry? E O V B

A: Rotational symmetry: A shape is said to rotational symmetry when it is still looks the same after…

Q: Find a value of b so that 15i - 3j and -4i + bj are orthogonal.

A: The given vectors are:                                            15i- 3j and -4i +bj;   Two vectors…