(1 point) Find a vector orthogonal to both (-2, 2, 0) and to (0, 2, 3) of the form

Q: Find two unit vectors orthogonal to a = (3, 3,0) and b = (-3, 0, –4) Enter your answer so that the…

A: We have to find two unit vectors orthogonal  to given a and b vectors.

Q: (1 point) Find a vector equation for the line through the point (-3, –1,8) perpendicular to the…

A: r(t)=?

Q: Determine a vector that is orthogonal to both (1, 2, -1) and (3, 1, 0).

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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: Determine a vector that is orthogonal to both (1, 4, −1) and (5, 1, 0).

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Q: A vector has initial point (−11,−12) and terminal point (20,−19) The component form of the vector…

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Q: 1. Find the vector component of the vector ū (-3, 6, 2). [28, 63, 0] in the direction of = %3D

A: We have to find vector component of u =[28, 63,0]  along the direction v=[-3, 6,2] Vector component…

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, -2, -2), (2, 3, 4) is < 2, – 10, 6…

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Q: How do I show that the vectors (1, 2), (0, 1), (-3, 4) are not linearly independent?

A: To verify that the three given vectors in the plane are linearly dependent

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: A vector w has initial point (-4,-3) and terminal point (-5, 2). Write w in component form.

A: Ny using position vector formula, we calculate the required vector.

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: Show that the vectors ⟨1, 2, 3⟩, ⟨1, 1, 0⟩, and ⟨3, 4, 3⟩ lie in the same plane

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Q: (B) Find the vector F directed from point (3,-5,2) to point (2,-2,1) in cartesian coordinates and…

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Q: A vector s has initial point (0, 0) and terminal point (-3, -2). Write s in component form.

A: A vector s has initial point (0,0) and terminal point (-3,-2).

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

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Q: How two-dimensional vector is determined?

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Q: 1. a)given a vector with initial point (−7, 9)and terminal point (5, −5), find an equivalent vector…

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Q: Given a vector with initial point (-2, 5) and terminal point (8, -8), find an equivalent vector…

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Q: (1 point) Find a vector orthogonal to both (-1,5,0) and to (0,5, 5) of the form (1,

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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: A vector orthogonal to the plane through the poii (-1,0,0), (0, –2, –2), (2, 3, 4) is < -2, – 10, 9…

A: The given 3 points are A (-1,0,0) , B (0,-2,-2) &amp; C (2,3,4) Let, x1=-1, y1=0, z1=0 x2=0, y2=-2 ,…

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: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

Q: Find a vector orthogonal to both and

A: Given query is to find the vector orthogonal to the given vectors.

Q: 2. Find and simplify the algebraic forms of vector with initial point (-2,-5) and terminal point (3,…

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Q: Find two unit vectors orthogonal to both (5, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

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Q: A vector w has initial point (1, -5) and terminal point (-2, -3). Write w in component form.

A: We find the vector in component form when the initial and terminal points are given by simply…

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

A: Solution :

Q: Determine if the vectors (2, –2, 1) and (0,1, 2) are orthogonal.

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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: Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the…

A: Recall: Position vector v→=a, b where a=x2-x1 , b=y2-y1 We have (x1, y1)=(-6, 1) and (x2, y2)=(-5,…

Q: Project the vector b = (1,3,1)" onto the line through %3D a13D (-1,2, 2)Т, (2, 2, –1)", аz 3D az=…

A: Given: Let us assume, b= (1,3,1)T  a1=(-1,2,2)T   a2=(2,2,-1)T   a3=(2,-1,2)T

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: (2, -3 ,1),(2, -3 ,5) Express the space stretched by the vectors with cartesian equations.

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Q: a) Find vector equation and paramedrie equahion for the line that passes through the point (5,1,3)…

A: The objective is to find the vector equation and parametric equations for the given problem

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: A vector with magnitude 10 points in a direction 310 degrees counterclockwise from the positive x…

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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: Find 2 unit vectors orthogonal to both and .

A: Given: u=&lt;1,2,-1&gt; v=&lt;1,-2,-1&gt;

Q: What is the component form of the vector whose tail is the point (-3, 2) and whose head is the point…

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Q: Example 2: Find the unit vector in the direction of v = (-1,3,4) and verify that this vector has…

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Q: Find a vector orthogonal to both (-4,5, 0) and to (0, 5, 4) of the form (1,

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Q: Express the vector v with initial point P and terminal point Q in component form. P(-4, 6), Q(-9,…

A: Given that the initial point is P-4,6 and the terminal point is Q-9,-4. The objective is to find the…

Q: 1. The components of the vector, initial point P(-3, 4, 1) and terminal point Q(-5, 2, 2). 2. The…

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Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…