u = (- 4, -1,1) and v = (8, -4,3), a unit vector in the direction of the vector w = 3u-v corresponds to:

Q: If u = (-3, -1), then the unit vector in the direction of u is:

A: Let u→=x i+y jthen the  unit vector in the direction u→ is given byu→u→=xi+yjx2+y2

Q: Determine whether or not the given two vectors are parallel.u =〈-3, 1, 4〉, v =〈6, -2, 8〉

A:

Q: What is the vector equation of the line team C must follow if they wish to meet team A at right…

A: To find the vector equation of the line team C must follow if they wish to meet the team A at Right…

Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: 4. Write the vector equation for a line parallel to the line L: F = (1,-7)+t(2, -3), t € R…

A: Introduction: In three-dimensional geometry, a line can also be described through a vector equation,…

Q: Find the angle between the vectors a=(2,2,-1) and b=(5,-2,3)

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Q: 9. Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Formula: The unit vector in the same direction of a vector v→ is given by, v^=v→v Given: p, q, r To…

Q: Find the vector equation of the line that passes through (1,0,-3) and it's parallel to v=2i - 4j +…

A:

Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: The angle formed by the vectors u = (1, 1, 1) and v = (1, -2, 1) is:

A:

Q: Find the unit vector directed   from (2, -5, -2) toward (14, -5,3)   a. a = 0.3858, +0.923a, b…

A: Here we have to find a unit vector.

Q: Write the vector v = ⟨2, -4, 4⟩ as a product of its magnitude and a unit vector with the same…

A: Given vector is  v=2,-4,4 Magnitude of vector v  is v=(2)2+(-4)2+(4)2=4+16+16=36=6 Now, unit vector…

Q: If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w?

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

Q: 12. Find the vector with length 5 and direction angles a = B = 120°, y = 135°. = 60°,

A: 12. Given that a vector with length 5 and direction angles α=60o, β=120o, γ=1350.

Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

Q: If u =(3, 3), v=( 13. -7), and 2w +3u-v= (4,-4) then what is the coordinate of vector w?

A: Since u=(3,3), we have u→=3i→+3j→ Also, since v=(13,-7), we have v→=13i→-7j→ Let w=xi→+yj→ Given…

Q: Suppose f(x,y)=4x2+y^2 and u is the unit vector in the direction of ⟨2,1⟩. Then, (a) ∇f(x,y)=  (b)…

A: We have  f(x,y)=4x2 +y2

Q: 6. The x-component of a vector is 4 and the y-component is -6. What is the magnitude and direction…

A: topic = vectors

Q: A figure is translated using the vector (-3, 7). What translation vector would move the image back…

A: i have provided solution in step2

Q: B) find a vector that is parallel to the line whose equation is : 4-x 3-6z % = 3 – 3y = 5 9

A:

Q: Express A = (3, 1, – 1) as B+ C, where B is parallel to the vector (1,4, 2) and C is perpendicular…

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Q: Show that the pair of vectors is perpendicular. 3? + ? and ? − 3?

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Q: (a) How do you tell if two vectors are parallel?

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Q: Find a unit vector that is orthogonal to both u and = (-8, -6, 4) v = (17, -18, -1)

A: In this question we will use basic of calculus i.e vector calculus. We will simply find the cross…

Q: Determine the vector equation of a line that is perpendicular to the line, p = |-4, 4, 9 + t|-1, 3,…

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Q: Find the sum of the given vectors. а - (5, -1), ь - (-1, 8) a +b = 4,7 Illustrate geometrically. y

A: We have

Q: What vector has the same magnitude as the vector u = (4,-3) and points in the opposite direction?

A:

Q: Determine whether or not the given two vectors are parallel.u =〈4, 2, -6〉, v =〈2, -1, 3〉

A: To determine whether or not the given two vectors are parallel.u=4,2,-6 and v=2,-1,3 By definition,…

Q: For the pair of vectors U = , V = , find U + V, U - V, and 4U - 3V. U + V = U - V = 4U - 3V =

A:

Q: If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the…

A:

Q: 6. Find the unit vector in the same direction as v. If u = (-12,8) and v = (-5,-12), find:

A: Consider the vectors u=<-12, 8>,    and    v=<-5, -12>. Need to find the unit vector in…

Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v - u) -…

A:

Q: Find two vectors j and 02 whose sum is (-3, -4), where j is parallel to (0, 5) while 02 is…

A:

Q: If the vectors a=(2,5,-1) and b=(3,-3,k) are orthogonal, the the value of k is

A: Given : a = 2,5,-1b = 3,-3,k

Q: Use the vectors u = (6, 6) and v = (-9, 3) to find the indicated quantity. (u - v)v (u · v)v =

A:

Q: Find the unit vector having the same direction as i = ( – 1,9). V82 V82, 9. of- 1 9. V82 V82 O (1,…

A:

Q: Find the vector v with the given length and the same direction as u. ||v|| = 3, u = (0, 1, 3, -1) V…

A: In  the given problem we have to find the vector v with the given length and the same direction as…

Q: 1) Check whether the vectors 효-1 33 5], -[3 10 6 T T Va = [2 7 3 2]' are line orly independent.

A:

Q: Give the vector equation of the line passing through P and Q

A: Consider the points: P=1, -2Q=3, 0

Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin…

A:

Q: The unit vector that has same direction as the vector from the point A(6, 8) to the point B(4, 10)…

A:

Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v . u) –…

A: Given that u=2,2,  v=-5,1  and  w=2,-2.. Compute v·u as follows. v·u=-5,1·2,2=-52+12=-10+2=-8

Q: 1. If a and b are two non-parallel vectors and the position vectors of P, Q and R are 1 3, a +2b,…

A: The equation of the line PQ is : PQ=Q-P=12a+34b-(a+2b)=12a+34b-a-2b=-12a-54b The equation of the…

Q: Let a = and b = -2 be two vectors. What is Ja2|b|2 - Ja b2 ?

A:

Q: Give the vector equation of the line passing through P and Q.P = (1, 1, 0), Q = (1, 0, 1), R =…

A: P=(1,1,0) and Q=(1,0,1)we have to find vector equation of the line passing through these points

Q: 2. Given the figure below, find a single vector that is equivalent to C B tw b) 10 14 וד --(A-F+C) G…

A:

Q: Given the vector v = (-3, 0, 1, -4), find u according to the following parameters. (a) u has the…

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Q: Find the vector v with the given length and the same direction as u. ||v|| = 3, u = (1, 0, 1, –4)

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Q: For the pair of vectors, find U+V, U-V, and 2U-3V. U = , V = U+V = ? U-V = ? 2U-3V = ?

A: givenU=<-3,0>U=-3iV=<0,2>V=2jU+V=-3i+2jU+V=<-3,2>U-V=-3i-2jU-V=<-3,-2>

Q: photo attached

A: Given:U = <3, 3>V = <3, –3>