Given vectors a = (2, 6) and b = (1, -3), find - 3a+5b. Write your answer in component form. -3a + 5b = (I0) ?

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: What is the component form of the vector represented by 2a when a (-23)7

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

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

A: To find the component form of a vector

Q: be a = 7+2 - 3R and B = 27 + 7- 2K determine the unit vectors parallel to the vectors a)d + B1

A: A parallel vector to the vector a+b is obtained by dividing the vector a+b by lenth of a+b.

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: For the pair of vectors find 2U-3V

A: U=6, 6V=6, -62U=26, 6      =2×6, 2×6      =12, 12

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: Write a vector equation for the line segment from P to Q. 4

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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 and i = , perform the operations below. %3D -7-0 =

A: Solution after performing operation is given:

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: 一1- 2. Write 3 as a linear combination of the vectors +

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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: For what values of c are the vectors and perpendicular?

A: we will use dot product of two vector.

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: Solve for the vector x in terms of the vectors a and b. x - a = 2(x - 2a)

A: Given: x-a=2x-2a

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

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Q: For the pair of vectors, find U + V, U – V, and 2U – 4V. = (5, 9), V = (5, -9) U + V = U - V = 20 -…

A: Let's look at the rules of operations of vectors:

Q: Q1.If à = 2a, + 2a, – a, and B = 3ax + 2a, – 6a, are vectors, find (a) Ả · B (b) Ả× B (c) Angle…

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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 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: Find a vector equation of the line that passes through A(5,-4) and B(1,-1)

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

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b for which the below vectors are orthogonal. −27,b,2, b,b2,b

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: For the vector r (3, - 1), what is -4r? The vector - 4r = ( ).

A: Given :   Vector r =  ⟨3, -1⟩  To find : -4r ?

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: For two vectors a and b, we always have a-b|<|a|-|b|. Select one: O True O False

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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=&lt;2, 0, 3&gt; and b=&lt;3, 1, 2&gt;

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: Write the vector form of the line 4x-2y=3. Use this vector form only, and then plot the line

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Q: For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

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Q: 10. Given vectors a = (3,-5) and b = (-2, 7), find 4a - 5b

A: Given a=(3,-5) and b=(-2,7)Then find 4a-5b

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,…

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

A: givenU=&lt;-3,0&gt;U=-3iV=&lt;0,2&gt;V=2jU+V=-3i+2jU+V=&lt;-3,2&gt;U-V=-3i-2jU-V=&lt;-3,-2&gt;

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.