Given vectors a= (2, 1) and b= (−3, 5), find −2a+4b. Write your answer in component form

Q: For the vectors a = (2, 8) and b = (4, 6), find orthab. 56 orthab = V 68 Illustrate by drawing the…

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Q: Given vectors a = (1, -3) and b = (-2, 0), find 4a - 2b. | Write your answer in component form. 4а -…

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Q: Given vectors a = (-6, 4) and b = (0, -2), find -3a +4b. Write your answer in component form. -3a +…

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Q: Given vectors a= (-4, 3) and b= (1, 2), find 3a-4b. %3D Write your answer in component form. 3a - 4b…

A: Given, a=<-4,3>, b=<1,2> We have to find 3a-4b

Q: Given the vectors s= (2, 0) and t=(-1, 9), find 5s and s+t. Write your answers in component form. 5s…

A: Given that the vectors     s = < 2,0 >    and     t = <-1,9> Here we have to find 5s and…

Q: Given the two vectors A = -9j- 2 -7k and B = -31- 4j +8k, Find the (a) A + B (b) A B (c) -4A…

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Q: Given vectors ū and v , draw 2ü – v .

A: We have to draw given vector.

Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =<1,2> vector b =<2,-1> Find :- 4a-3b

Q: Given vectors a=-37-9)andy=-12t-13, find vector x

A: We need to obtain the difference of the two vectors.

Q: Given vectors u = (3, –6) and v = (-6, 2) , find the difference v – u and represent the difference…

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Q: For the vectors a = (3, 12) and b = (6, 9), find orthab. orthąb =

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Q: Given vector a = 31 – 2j – yk and b= 3i- 2j + k. What is the value of y if a =b

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Q: : For given vectors, a-2i - j+ 2k and b=-i + j- k, find the unit vector in the direction the vector…

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Q: Given vectors a = (-3, 6) and b = (5, 1), find 2a +3b. Write your answer in component form. 2a + 3b

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Q: Given the vectors m= (9, − 1) and n=(8, 6), find 5m and m+n. Write your answers in component form.

A: We have to find 5m and m+n.

Q: Given the vectors s= (-5, 1) and t=(-9, 2), find 3s and s+t. %3D Write your answers in component…

A: Given : s=-5,1t=-9,2

Q: Given vectors a = (6, 1) and b = (4, -2), find - 5a+2b. Write your answer in component form. -5a +…

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Q: given the vectors u=-i-5j and w=-3i+2j, find -4u and u-w. write your answers in the form ai+bj

A: Let u→=u1i∧+u2 j∧+u3 k∧ and v→ = v1 i∧+v2 j∧+ v3 k∧be two vectors , then the sum of  u→  and v→  is…

Q: Given the vectors u = -i-4j and w=-2i+5j, find 7u and u – w. | Write your answers in the form ai+bj.…

A: Given the vector u = -i - 4j And w = -2i + 5j Find 7u and u - w in the form of ai + bj.

Q: .If A = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (a) A· B (b) Á xB (c) Angle between…

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Q: For what values of a and b are the vectors (a-b,2) and (4, a+b) equal? For what values of a, b, and…

A: Two vectors are equal if the corresponding components are equal . The vectors a-b,2=4,a+bif a-b=4…

Q: Given the vectors m= (5, - 8) and n -3, -4), find - 8m and m+ n. Write your answers in component…

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Q: For what values of a and b are the vectors 4= (2a-b, -1) and v (41 3a -b) equal ? write your ans…

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Q: Given the vectors a=(7, -4) and b=(-3, 8), find 2a and a +b. Write your answers in component form.…

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Q: Given vectors a = and b = , find 3a - 2b.

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Q: Given the vectors u = 6i and v = 3i–8j, find -7u and u –v. Write your answers in the form ai+bj. -…

A: Let us consider two vectors, u= ai + bj  And v = ci + dj  Then for a scaler c we get, cu = c(ai +bj)…

Q: Given vectors a = (6, -4) and b = (5, 1), find 5a – 3b. Write your answer in component form. 3b =…

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Q: Given perpendicular vectors a = (5,3,-1) and 6=(2,2,k), find ||||.

A: Given perpendicular vectors a→=5, 3, -1,     b→=2, 2, k   To Find: b→

Q: Add the given vectors by components. A= 366, 0, - 232.3° B%3D226,0,3D296.6

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Q: Given the vectors v 8i-3j and w -i+6j, find 3v and v+w. Write your answers in the form a i+bj.

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Q: Consider vectors A= -51 + 2j and B = 6î – 5j. Now answer the following questions %3D

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Q: Given the vectors u = -i-4j and w = -2i+5j, find 5u and u +w. Write your answers in the form a i+bj.

A: Given:- u=-i-4j  w=-2i+5j   then, 5u = 5*(-i - 4j) = -5i - 20j Here , a= -5 and b=-20

Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…

Q: Given vectors u = (-7, –5) and v = (2, –2) , find the difference V – u and represent the difference…

A: Please refer to the solution which is uploaded in step 2

Q: Given the vectors s = (0, -7) and t= (-1, 6), find 8s and s+t. Write your answers in component form.…

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Q: Let Ā = -(1+ m)î + 7j – 5k , B = xî + (6 + n)j – 2k and Ĉ = (8+ m)î – 2k , find the following: If…

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

Q: Given vectors a = (2, 6) and b = (1, -3), find - 3a+5b. Write your answer in component form. -3a +…

A: We need to find the sum of given vectors.

Q: For what values of a, b, and c are the vectors; Equal?

A: Given: 2a-ba-2b6, -22a+b-2c

Q: Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and 6

A: Vector addition

Q: Given the vectors =(-3, 1) and n=(-2, 0), find 7m and m-n. Write your answers in component form. 7m…

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Q: Given the vectors m = (-3, 6) and n = (0, 7), find 3m and m-n. Write your answers in Component form.…

A: Given :  m = < - 3 , 6 >  n = < 0 , 7 >  Find :  3 m and m - n

Q: (The vectors A=i-j,B=j-k, and C = 3i-k, find triple dot (AXC). B

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given the vectors v=7i-5j and w=−i+3j, find −9v and v-w. Write your answers in the form ai+bj.

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Q: Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

A: Given that: a=<2, 0, 3> and b=<3, 1, 2>

Q: For what values of a, b, and care the vectors (2a-b,a-2b,6) and (-2,2,a+b-2c) equal?

A: The given vectors are 2a-b,a-2b,6 and -2,2,a+b-2c . Note that, two vectors are equal if their…

Q: Given: C = 132.16, = 120°,B = 30°,Ĉ = 57° Find the magnitude of vectors A and B using Chace Method.

A: Given:C=132.16 A=120° B=30° C=57° Find: magnitude of vector A and B using Chace method

Q: For the given vectors a and b, find the cross product a x b. =(3,0, -1), b = (3, 2, 0) a %3D a x b =

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Q: Show that each pair of vectors is perpendicular.     -6i -5j and 10 i -  12 j

A: If two vectors A and B are perpendicular then its dot product A.B=0Dot product:i, j,k are the…

Q: Let a, b, and x denote vectors in R,,. (a) Simplify 3a + (5b -2a) + 2(b - a). (b) If 5x - a = 2(a +…

A: (a) Calculation: The simplified form of 3a+5b-2a+2b-a can be obtained as,…

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.