The position vector of points A, B and C are OA=2i-j+nk, OB-1+3j-2k and OC =-i-mj-3k, where O is the origin, 1 and m are constants. Find i) n and m if BAX BC = -16i-3+2k, ii) Using the value of n and m from (i), find ZABC. !!

Q: The vector v = ⟨−1, 3⟩ and its Initial point: (4, 2). Find the terminal point.

A: Given: To Find: Terminal Point   Concept:

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Q: 2- Suppose that vector v has initial point (-4,5) and terminal point (-1,12). a- Find the component…

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Q: Find the unit vector represented by the directed line segment with initial point A (-2,1,1) and…

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Q: find the component form of vector RS with the initial point R(3,-2) and terminal point S(3,3)

A: From the given problem:   Initial point R3,-2   Terminal point S3,3   So the component form of RS→:…

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Q: The sum of the squares of the direction cosines of a vector in space add up to ..............

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Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: 10

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Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

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Q: what is the parametric and symmetric eqvotions of the line that passes thrs point (4.-3,57 to beth…

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Q: The line that passes through the point (4, –2, 0) and parallel to the vector (1, 2, –3) has…

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Q: The vector (3, -1, 2) is parallel to the plane 6x – 2y + 4z = 1. - %3D

A: Use formula to calculate equation of plane

Q: The vector v and its initial point are given. Find the terminal point. = (4, -9); Initial point: (9,…

A: Given

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Q: What is the area of the parallelogram determined by the vectors v = (1, 3, 6) and w = (-1,0, 3)?

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Q: 1- Find the direction of the vector with initial point P(-3,4,1) and terminal point Q(-5,2,2).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The plane that contains the points (-2,1,0), (1, 0, –1) and (0, –1, 1) is orthogonal to which…

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Q: The line that passes through the point (4, -2,0) and parallel to the vector (1, 2, –3) has symmetric…

A: The solution is given in the next step.

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A: Given: Initial point (3,-7) and terminal point (-2,5).

Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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Q: Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal…

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Q: a horizontal vector has initial point (-4,1) and has a magnitude of 7. What is the terminal point?…

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A: Vector AB= B-A

Q: Calculate the sum of the vectors that can be drawn as a vecto from the vertices of the triangle…

A: The vertices of the triangle is A7,4,-4, B1,-1,1 and C-8,-1,3

Q: Express à = (3, 1, –1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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Q: Consider the vector whose initial point is P(-6, 6) and terminal point is Q(5, 3). Find the position…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: The terminal point of the vector v = i +2j +3k with initial point (4, 2, –3) is

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Q: Prove that the points position vectors collinear. With at 26, 2a-5 and 3a-46 are

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Q: If vector u has initial point (3,0) and terminal point (7,-2), find the linear combination of vector…

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Q: Find the unit vector along the line joining point (2, 4, 4) to point ( - 3 , 2, 2). A) -0.8703ax -…

A: We can solve this as follows:

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Q: The vector PQ has initial point P(-5, –6) and position vector (12, 9). What is the terminal point Q?

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Q: Consider the vector whose initial point is P( – 4, 3) and terminal point is Q(0, - 1). Find the…

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A: Parallel vector will be multiple of each other  Perpendicular vector has dot products zero

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A: Solution: The objective is to find the vectors

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Q: )Find the vector in R2 from point A = (8,9) to B = (-3,5). AB = help (vectors)

A: