Q- The projection of the vector (G) onto the line =2x is is (48). y=2x The point (6,7) is reflected in the line y = 2 x to a point A. what is the position vector of A? (a) (1/2) (b) (c) (8°) (3) (-5) (-3)

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

A: Solution

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Find the vectors direction of F= -2yi-xJ of the points below :- (-12-1), (-21-1),(3,0). (-1₁-2),…

A: Vector, F→=-2y i^-x j^Points: -1, -1, -2, -1, 3, 0, -1, -2, -3, -2, -1, 0

Q: Let L₁ be the line passing through the points Q₁=(4, -2,-4) and Q₂=(3, 1, -7) and let L₂ be the line…

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Q: Let T: R2 R be a reflection in the x-axis. Find the image of each vector. (a) (7, 6) (b) (9,-3) (c)…

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Q: Consider the points A(-3, 4, 2) and B (8,-1, 5). (a) (i) Find AB. () Find AB (ii) 2 1 A line L has…

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Q: Find the vector equation of the line through the points P0(x0, y0, z0) and P1(x1, y1, z1).

A: P0x0, y0, z0 & P1x1, y1, z1. Now let a→ & b→ be the position vectors of the points P0x0, y0,…

Q: Hw.L showthat Vi=3inbj andVz 2-i-zj have opfosite directions.

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Q: Let <··· Give the B-coordinate vector for each of the following: (a) B = H ²21 (b) 2 (c) H

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Q: (d) Let w =(-39,22), v’i=(2–5), v°2=(5,-4), v°3=(-4,-1). If possible, express w as a linear…

A: In this question we need to multiply vectors by constant and have to find values of constant

Q: et L₁ be the line passing through the points Q₁(-5, 2,-5) and Q₂(-14, -7, 1) and let L₂ be the line…

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Q: 3. (7-9) A vector has an initial point at (1, –1) and an endpoint at (8, 6). Write the vector in…

A: The given start and endpoints of vector are (1,-1) and (8,6) We know that the magnitude of a vector…

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t)= 1)…

A: The given position function is

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: What is the direction of u= (2,–3,–6).

A: Direction of a given Vector.

Q: T: R R be a reflection in the x-axis. Find the image of each vector (a) (7, 6) (b) (9,-3) (c) (-a,…

A: Given vectors are d) (0, b) e) (-c, d) f) (f, -g) We have to find the reflection in x-axis

Q: The position of a moving particle in space is vgiven by r(t) = (- 76- 21) i + (108t° - 2890) j +…

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Q: By finding the extreme values of f, find the shortest distance between Lị and L2. Be sure to fully…

A: Given that L1: v=2,4,4+t4,1,5L2: v=1,−3,2+t−2,3,1 To find the shortest distance between L1 and L2.

Q: For parts (a)-(e), please use the following vectors: C = (-1,-1,0) -120°, and 0₂ = 90° A = (2,4,0) B…

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