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)

Q: Find the angle between the vector through the origin & the point (1,1,1) and the component of Ā = 2i…

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: find the given vector  Unit vector ew where w = (24, 7)

A: Given: w=24,7

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 angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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Q: Find ||7e – 4f|l, assuming that e and f are unit vectors such that ||e + f|| =

A: Suppose e and f be the unit vectors such that e+f=32 First, find the dot product of the vector e…

Q: Given the vector u = (1, 2), find the magnitude and angle in which the vector points (measured…

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Q: For the vector u = 4i- 3j, find a unit vector a. in the same direction as u b. in the opposite…

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Q: Given the vector u = 2i + 6j, find the magnitude and angle in which the vector points (measured…

A: Given :u=-2i+6j

Q: Find the value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: 4. Find the vector v that is orthogonal tou=i+j+k and whose r-component and z-component are 2 and…

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Q: For what value of t, if any, is the vector (8t, 2) parallel to the vector (4, -1) ?

A: Given vectors:A= &lt;8t, 2&gt; and  B= &lt;4, -1&gt;

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: 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: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

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

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

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Q: Given the vector →u=⟨−2,3⟩ find the magnitude and angle in which the vector points (measured…

A: Given a position vector v ⇀=&lt;a, b&gt;, the magnitude is found by |v|= a2+b2-(i). The direction is…

Q: Given a vector A = 3a, - 2a, - 16a, find its components normal to the plane 2x + 2y – z + 8 = 0 and…

A: We have to determine component normal to the plane

Q: Find the component form of the vector v and (b) sketch the vector with its initial point at the…

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Q: Given the vector u = ( – 4, 6), find the magnitude and angle in which the vector points (measured…

A: Given: v→=-4,6 v→=(-4)2+(6)2=16+36=52=7.211 Therefore, the magnitude of the vector is 7.211.

Q: Given u = and v = , sketch u - 2v and identify the direction (from standard position a.k.a. (+)…

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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 (1, 4t) parallel to the vector (4, - 1)? Not OA. t = -2…

A: If the Vectors u and v are parallel then u=kV , K is any scalar.

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

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Q: If a = i+5j + k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

A: We have to find

Q: find the compoment form of vector v given ||v|| = 13 and the angle with positive axis is theta=300…

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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…

A:

Q: Find a unit vector (a) in the direction of v and (b) in the direction opposite of v = 5i + 3j − k

A: Solution:- The given vector is  v→=5i+3j-k we have to find a unit vector in the direction of  a)…

Q: Given a vector à = 3a, + 2a, + 6as , determine a vector that is perpendicular to A and tangential to…

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Q: Find a unit vector e, where v = (4,2, 5) ey = %3D

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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: А. Find the domain of the vector position r(t) + t+2 (t + 2) j + In(9 – t²) k

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

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Q: Find the component form of the unit vector obtained by rotating the vector (1.0) 210°…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Given the vector A= 5ax +3ay -7az and B= 3ax +6ay-2az, find (a) a unit vector in the direction of…

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Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

Q: Find a vector equation and parametric equations for the line segment that joins P to Q, given P(0,…

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Q: If a = i+ 3j + k and b = i+9j + k, find a unit vector with positive first coordinate orthogonal to…

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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: Let v=5i+2j. Find a vector that is twice the length and points in the opposite direction as v.

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: If a = i+ 4j + k and b = i + 8j + k, find a unit vector with positive first coordinate orthogonal to…

A: Given : a=i+4j+k and b=i+8j+k.

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.