Q2/ (a) Let A (2,3,0) and B (-1,- 2,- 4) be two points. Find the vector AB in terms of the standard unit vectors. (h) Let i be a unit vector satisfying the equation (å -) (å + 6) = 8. Find ja].

Q: The component of the vector (-5, 0, –3) onto the vector (3, –4, –2).

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Q: Find a unit vector that are orthogonal to the vector (2,−3,1), (5,−2,0), and (3,0,1)

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Q: What does it mean for one vector to be a scalar multiple of another vector? How can you tell whether…

A: What does it mean for one vector to be a scalar multiple of another vector? How can you tell whether…

Q: If a vector is multiplied by a positive scalar, how is the result re-lated to the original vector?…

A: Explanation:

Q: B. Find the unit vector with the initial point P(-3,4,1) and terminal point Q(-5,2,2). Then find the…

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Q: A vector starts at point ( -3, 3) and ends at point (-1, -5) what is the vertical component of the…

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Q: A hiker begins at the origin and walks in a straight line in the direction of the vector (1,1) for…

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

A: a)A position vector v→ is defined as a line extending from the initial point (x1,y1) to the final…

Q: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

A: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

Q: Express the vector (-1, 0) as a linear combination of the vectors (-1, - 1) and (-1, 1). (-1,0) =…

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Q: What position vector is equal to the vector from (3, 5, -2) to (0, -6, 3)?

A: We have given two vectors;  (3, 5, -2) , (0, -6, 3)

Q: Find two unit vectors orthogonal to both (2, 6, 1) and (-1, 1, 0)

A: The given vectors are The unit vectors can be obtained by the formula Now, find the cross product…

Q: How do you determine if two vectors are orthogonal?

A: If we are given two different vectors , then they are orthogonal if they are  perpendicular to each…

Q: Determine the equations of the line (vector, parametric, Cartesian and general) that passes through…

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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: Find the vector with length V17 and same direction as = (7,0, -6).

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Q: How two-dimensional vector is determined?

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Q: What is the terminal point of the vector a = (2, 2) based at P = (2,4)?

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Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –2, –2), (2, 3, 4) is

A: Query- Find a vector orthogonal to the plane through the points -1,0,0,0,-2,-2,2,3,4. Answer- Let…

Q: A forklift is used to offload freight from a delivery truck. Together, the forklift and its contents…

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Q: The intersection of the two planes given by the vector equations ()- -2 =0 r. and -4 = 3 r. is

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Q: How do you find the vector component of one vector orthogonal to anothervector?

A: How do you find the vector component of one vector orthogonal to another vector?

Q: Write the scalar equation of the line given the normal vector n =[1,−1] and a point Po (-5,1)

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Q: A vector with magnitude 3 points in a direction 265 degrees counterclockwise from the positive x…

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Q: Find a unit vector that is anti-parallel to the vector (1,2,0,3).

A: A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude…

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: What is the component form of the vector with an initial point of (-2,5) and a terminal point of…

A: Given that ,  The vector with  Initial Point = (-2 , 5) Terminal Point = (7 , -3).

Q: Find two unit vectors orthogonal to both (1,-1,1) and (1,0,3)

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Q: Find the component form and length of the vector v that has initial point (3, −7) and terminal point…

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

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –2, -2), (2,3, 4) is

A: A vector orthogonal to the plane through the points (-1,0,0) , (0,-2,-2) , (2,3,4) is

Q: Find two unit vectors that are normal to the plane determined by the points A (0, -1, 3),B (2,…

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Q: Let a be a standard position vector with terminal point (-5,2). Let b be a vector with initial…

A: Given: To Find: the magnitude of vector 2a+5b+3i+5j…

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: Express the vector v with initial point P and terminal po P(-9, -7), Q(-3, -3)

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Q: 5. Verify that its possible for a line with direction vector J=(2,1,-2) to lie flat on a plane with…

A: The vector equation of a plane is given by the expression . Here, and are the vectors that lie on…

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 two unit vectors orthogonal to both (6, 9, 1) and (-1, 1, 0). (vector with the smaller…

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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:

Q: 8

A: Given vector is v→=8-7-5 We have been asked to find two linearly independent vectors that are…

Q: Q3: Find the scalar and vector components of the vector with initial point (2, 1) and terminal point…

A: Given initial point A(2,1) and terminal point B(-5,7)

Q: If a vector is multiplied by a positive scalar, how is the result related to the original vector?…

A: Solution:- If a vector is multiplied by a positive scalar, how is the result related to the original…

Q: Find an equation of the plane that passes through the point P(-2, –4, 2) and has the vector (-5, 4,…

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Q: A vector orthogonal to the plane through the points (-1,0,0), (0, 0, -2), (2, 3, 4) is

A: We will solve the problem

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, – 1, –2), (2, 3, 4) is

A: This could be solve using vector concept.

Q: Find a vector which is orthogonal to the vectors ū = (2, –2, 1) and ū = (4, 3, – 1).

A: Explanation of the answer is as follows

Q: Find two vectors V1 and V2 whose sum is ⟨2,−5,3⟩, where V1 is parallel to ⟨4,4,0⟩ while V2 is…

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

Q: What are i and j, and what do they represent? They are --Select--- v vectors, or vectors with…

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Q: Find the angle between the vectors [ -1, 1, 2] and [2,1,-1].

A: Consider the vector: v = −1,1,2w =…