Find the transformation matrix that rotates a rectangular coordinate system through an angle of 120° about an axis making equal angles with the original three coordinate axes.

Q: Find the magnitude of vector PQ ,where P(2,29) and Q(-2,-1).

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Q: Find a vector of magnitude 8 in the direction of i = (-4, –6, –1). Vector is Find a vector of…

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Q: Consider two vectors ā = 4i – 5j + 2k and b = -2i + 2j + 7k. Find (a) ä + b (b)ā – b, and () a thicd…

A: Given vectors are  a→ = 4i^-5j^+2k^b^ = -2i^+2j^+7k^

Q: A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar…

A: Two points given in the xy plane  A = (2, -4) and B = (-3,3)   Find: Distance between the A and B…

Q: find its magnitude and direction (r,θ)

A: The given vector can be represented as, Here, rx and ry represent the vector’s x-component, and the…

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…

Q: segment. Find the magnitude and direction of the resulting (overall) displacement of the plane (a)…

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Q: For the vectors u=i+3j+2k and v=2i−2j+2k calculate  projvu and scalvu

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Q: Find a vector of length 2 in the opposite direction of the displacement from P,(-2,3,5) to P,(3,5,-…

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Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

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Q: Determine the magnitude and direction cosines of the position vector from the point P(2, 1, – 5) to…

A: Given :            P(2, 1, -5)            Q(1, 10, 1)

Q: We have two vectors A=(57.8, 12.5 degrees) and B=(19.0, 140.3 degrees). What is the x-component of…

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Q: Consider the vectors a = 3i + 2j + 6k and b = −9i − 6j + 2k, where i, j, and k are…

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Q: Two vectors are given by a = (1,2,3) and b = (3,2,1) in cartesian coordi- nates. Find à, a + b, a b…

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Q: Transform each of the following vectors to spherical coordinates at the point specified. F = yax -…

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Q: Find a vector v (in component form) so that the magnitude of v = 392 and when drawn in standard…

A: The objective of the question is to find the vector v in component form given its magnitude and the…

Q: Find a vector v (in component form) so that the magnitude of vector v = 5 and when v is plotted in…

A: The objective of the question is to find a vector in component form that has a magnitude of 5, lies…

Q: Consider the vectors: A = 2î + 5j. B = 5i + 4j, and C = A - B. What is the direction of C , measured…

A: Here we have to subtract B from A component wise. C vector is coming out to be in 2nd quadrant. So…

Q: Vector v = . Find the angle in which the vector v points (measured counterclockwise from the…

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Q: a certain corner of a room is selected as the origin of a retangualr coordinate system. A fly is…

A: Write the given values with suitable variables. x=3.7y=1.3

Q: An object moves from position (3,4) to (6,5) in the xy plane. Find the magnitude and direction of…

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Q: Find the Cartesian coordinates for the point whose distance from the origin is 7 m and the angle…

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