Express the vector v with initial point P and terminal point Q in component form. (Assume that each point lies on the gridlines.) v = (7, – 4) y 10 P

Q: 4) Find the magnitude and direction of the vector i that has components v4 = –1525 and vy = -8402.

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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: Find the component form of the vector.The unit vector that makes an angle u = -3pi/4 with the…

A: Given: The unit vector that makes an angle  To find: The component form of the unit vector.

Q: (c) a = 3i - 2j + 5k and b= -2i-j+k, find 2a - 36 and also its unit vector.

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Q: Given initial point  P1 = (−2, 1)  and terminal point  P2 = (5, 4),  write the vector v in terms…

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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: Find the unit vector that has the same direction as the vector v = 6i.

A: For the vector ai∧+bj∧unit vector is given by ai∧+bj∧a2+b2

Q: Represent the vector with respect to each of the two bases { ] y = B = B2 =

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Q: If v = 5i + 4j, find the vector -3v.

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Q: Given initial point P1 = (-2, 3) and terminal point P2 = (6, 5), write the vector v in terms of i…

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

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =…

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

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Q: Find the unit vector that has the same direction as the vector v = 4i - 2j.

A: the given vector is v=4i-2j

Q: Two vectors (M = 4ax-bay) and (N = 6ax-2ay-Saz), find the vector perpendicular to these vectors?

A: Given Vectors are                                                 M=4ax-6ayN=6ax-2ay-5az vector…

Q: Find the parametric equation of the line that passes through the point P(2,4, –2) and is parallel to…

A: Parametric equation of line that passes through the point P(x0, y0, z0)& parallel to vector a =…

Q: Find the unit vector that has the same direction as the vector v = 3i - 2j.

A: Given vector is v→=3i-2j We have to find unit vector that has same direction as given vector.…

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

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Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: Find the B-coordinate vector fe

A: First multiply some constant with given coordinator polynomial and equal the vector p(t) and find…

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

A: Given vectorv=8i^-6j^

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: Find the component form and the magnitude of the vector v. ||v|| %3D y 9. (2, 4) V 2 -2 (-1, -1) -2…

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Q: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

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Q: Find the unit vector that has the same direction as the vector v = -5j.

A: Given vector is v=-5j. Obtain the magnitude. v=-5j=-52=5

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 initial point P1 = (6, 6) and terminal point P2 = (−6, 6), write the vector v in terms…

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Q: Find the vector v with the

A: Given, the vector               v=3, and u=0, 3, -1, 1

Q: Find a vector that is perpendicular to both and 2. A =-i - 2j +4k B = 4i - j

A: Take cross product and it's magnitude then find unit vector in perpendicular to both vector

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

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Q: write the vector v in terms of i and j.

A: Given, Initial point P1=(6,2) Terminal point P2=(-3,4)

Q: Given initial point  P1 = (−7, 4)  and terminal point  P2 = (9, 6),  write the vector v in terms…

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Q: find the component form of the vector. The vector 2 units long in the direction 4i - j

A: Given vector is u = 4i – j. So, the unit vector in the direction of the given vector is

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 initial point  P1 = (2, 5) and terminal point P2 = (−1, 6),write the vector v in terms of i…

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Q: Find the component form and the magnitude of the vector v. Initial Point Terminal Point (-4, 6) (24,…

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Q: Find the vector v, where u = (-1, 3) and w = :(-3, -1). v = u + 2w Illustrate the specified vector…

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Q: Find the unit vector that has the same direction as the vector v = 3i - 4j.

A: We have to find unit vector that has the same direction as the vector v=3i-4j. We know that unit…

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

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Q: Find the component form and the magnitude of the vector v. Initial Point Terminal Point (-4, 6) (17,…

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Q: If v = 7i + 10j, find the vector -5v.

A: We have been given the vector v=7i+10j, and we have to find -5v

Q: Write the vector v in the form a i+bj,

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Q: Express the resultant vector as a linear combination. f=-3i - 10j %3D g = 11i + 5j Find:-6f +2g

A: To find -6f+2g.

Q: Find an equation for the line through P(11,10) parallel to vector v=2i-3j

A: Given point on the line is P(11,10) The vector parallel to the line is,v=2i-3j

Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

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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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Q: b Write the vector b in terms of the other vectors. C.

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Q: 4) Find the magnitude and direction of the vector i that has components vz -1525 and Vy -8402. %D

A: Any vector lying in the xy-plane, can be decomposed into two vectors which lie along the x and…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.