Find the angle in degrees between u = (1, 2, 0) and v = (1, -2, 1)

Q: What are the coordinates of P(23t/2)? А. (-1, 0) В. (1, 0) С. (0,1) D.(0,-1)

A: Solution

Q: 2. Find the angle between vector [2, -5,7] and vector [6,4,1]

A: Vector [2,-5,7] and vector [6,4,1]  We have to find angle between these two vectors

Q: Find the angle between u = (2,3,1), and v = (-3,2,0)

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Q: 2) (i) Find the direction cosines for v= he sum of their squares equals 1. (2,3,4). (ii) Verify that

A: Direction cosine and ratios

Q: Find distance between a = (3, -1, 0, -3) and b = (4, 0, 1, 2).

A: Given a=(3,-1,0,-3) and b=(4,0,1,2) and we have to find distance between a and b

Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

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Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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Q: Find the angle ∠BAC if A = (−2, 1, 3), B = (0, 1, −1) and C = (1, 0, 2)

A: Consider the given vertices.A = (-2, 1, 3), B = (0, 1, -1), C = (1, 0, 2)

Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: Find u · v. u = (7, 12) v = (-4, 5) u v =

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Q: Convert (r, e, z) = (5, -5) to (x, y, z) and (p, 0, ). Angle in radian, up to two decimal places.

A: Given, The cylindrical coordinates are r, θ, z=5, 3π4, -5

Q: Find u· v. u = (-10, 2) v - (1, 5) u v =

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Q: What is the angle in radians between the vectors a = (-9, -7, -2) and b = (-6, 1, 4)? Angle:

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Q: Find the distance between u and v. u = (-2, 2), v = (2, -2) d(u, v) =

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Q: Find the angle between (-1,-2) and (-6,3)

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Q: What is the angle in degrees between the two vectors (2, 4. -1) and (4, 8, -2)? Note that the…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.