Given the vector u = (- 5, - 6), find the magnitude and angle in which the vector points (measured counterclockwise from the positive x-axis, 0 < 0 < 27)

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A: Given:-A vector passes through the origin &amp; the point (1,1,1) A→=2i+2j-k and B→=i+j To Find:-The…

Q: Given the vector u counterclockwise 11-11 = (2, 5), find the magnitude and angle in which the vector…

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Q: Find the B-coordinate vectors of ei and e2, where and B : %3D %3D %3|

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Q: Find a vector equation with parameter t for the line through the point (7,0, –7) and parallel to the…

A: We have to find a vector equation with parameter t.

Q: Given the vector u (5, – 2), find the magnitude and - angle in which the vector points (measured…

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Q: Consider the vector v = (x, 2) in R2. If you rotate the vector by 90-degrees counter-clockwise, then…

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Q: Given the vector u = (6, - 6), find the magnitude and angle in which the vector points (measured…

A: u = (6,-6)   Magnitude of u = ||u|| = √(36+36) = 6√2

Q: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

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Q: Consider the points P(2, −1, 0), Q(5, 0, 0), and R(3, 1, √5). Find the coordinates of the vector QS…

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Q: Find a vector v parallel to u=4i−3k and with magnitude ||v||=4

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Q: Given the vector ü = (4, 5), find the magnitude and angle in which the vector points (measured…

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Q: Find the angle between the vectors u = 2i +j+9k, v = 6i – 12j and sketch the vectors and the angle…

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Q: Find vector u with the magnitude given that satisfies the given conditions. v (7, -1, 3), ||u || -…

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Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

A: We know that angle between two vectors is given by θ=cos-1u→·v→uv Here, u→=-4,2,1 and v→=-20, 10, 5.

Q: Given the vector u (- 5, 2), find the magnitude and angle in which the vector points (measured %3D…

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Q: Given the vector u 2i + 1j, find the - magnitude and angle in which the vector points (measured…

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Q: For what value of t , if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

A: Given :4t,-1 and 4,-1

Q: find the unit vector u having the same direction as v  v=3j

A: Recall: Formula for unit vector,                  u=v‖v‖

Q: Find the direction cosines of the vector v = 2i−4j + 4k, and approximate the direction angles to the…

A: `The given vector is v=2i-4j+4k

Q: Find the equation for the plane through the point Po = (2,2,7) and normal to the vector n= 8i + 3j +…

A: Equation of plane passing through point P(x0,y0,z0) and normal to vector n=ai+bj+ck is given by:…

Q: Find the vector v with v= 6 and direction 0 =150°.

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Q: For what value of t if any, is the vector 5t, 1] parallel to the vector (4, -1) ?

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Q: Find the unit vector that has the same direction as the vector v. v = 8i – 6j

A: To find the unit vector we divide the given vector by its magnitude where resultant vector is unit…

Q: Given the vector ü = (-6, 2), determine the magnitude and angle of the vector (measured…

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Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

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Q: Given the vector u (6, – 6), find the magnitude - and angle in which the vector points (measured…

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Q: Consider the vector v = (2, y) in R?. If you rotate the vector by 90-degrees counter-clockwise, then…

A: Given,   v=2,y   in ℝ2.

Q: Find the unit vector that has the same direction as v = 2i + 2j−k.

A: To find the unit vector for any vector v=ai+bj+ck, the formula v=a2+b2+c2 can be used. This formula…

Q: Find the component form of the vector v given ||v|| 12 following the direction of u (3, –5) %3D

A: The vector v in direction of u can be found  blew step.

Q: Find the magnitude of the vector and the angle 0, 0° < 0 < 360°, that the vector makes with the…

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Q: Let v = -4i + 3j. Find a vector that is half the length and points in the same direction as V

A: Given vector v=-4i+3j. To find: A vector  that is half the length and points in the same direction…

Q: Given the points X(1, -2, 1) and Y(0, 3, -2), find a vector that is collinear with XY and has a…

A: Given: X(1, -2, 1) and Y(0, 3, -2).

Q: Given the vector u (2, 2), find the magnitude and - angle in which the vector points (measured…

A: Given that: u→=2,-2. Therefore, magnitude of the vector is= u→=22+-22=22.

Q: Given the vector u = (- 6, 5), find the magnitude and angle in which the vector points (measured…

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Q: The vector i +bj-k is perpendicular to the vector I +2j-3k. what is the value of b?.

A: We know that if two vectors are perpendicular to each other then there dot product is zero. Given,…

Q: 13. Find the unit vector having the same direction as v. v = 6i-8j

A: We have to find the unit vector.

Q: 1. Find the angle that the vector V = makes with the positive x axis.

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Q: What is the angle between the vector i + v3j and the positive direction of the x-axis?

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Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured…

A: Here we will find the magnitude and direction of given vector,

Q: Given the vector u (- 6, 2), find the magnitude and angle in which the vector points (measured…

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Q: Given the vector u = ( – 5, – 6), find the magnitude and angle in which the vector points (measured…

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

Q: Given the vector ü = (2, – 5), find the magnitude and angle in which the vector points (measured…

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Q: Find the component form of vector v given its magnitude is ||v|| = 5 and the angle it makes with the…

A: Given that the magnitude=||v||=5 and angle=θ=60°. So the component form is given by:…

Q: Given the vector →u=⟨−3,−1⟩, find the magnitude and angle in which the vector points (measured…

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Q: Assuming vector B is 12 units long, vector 4B is:

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Q: / Let v = -4i + 3j. Find a vector that is half the length and points in the same direction as v

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