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

Q: If w = -2i + 6j, find the following vector: 2(-2) + 4(-6) W.

A: Given: The vector w=-2i^+6j^. w2 can be calculated as, w2=-22+622        =402       =2102…

Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

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

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Q: Q3/B/ For what value of 2, the vectors 2i - j+ 2k and 3i + 22j are perpendicular?

A: We can use the concept of perpendicular vector their dot product is zero.

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

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

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

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Q: Find the sum of the given vectors. a - (3, 0, 2), b- (0, 6, 0) Illustrate geometrically.

A: Given, Two vectors  a = ⟨3, 0, 2⟩   b = ⟨0, 6, 0⟩  We have to find the sum of vectors and illustrate…

Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Find the requested vector in R2 where A = (-3, 6), B = (8, –6) and C = (7,4). -2AB + 7CB = help…

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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: Two vectors are equivalent when they have the same ________ and the same ________.

A: Two vectors are equivalent when they have the same magnitude and the same direction. Magnitude of a…

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

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Q: Express the given vector in terms of the unit (о, -5, 7)

A: Given query is to express the vector inthe form of unit vector.

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

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Q: photo is attached

A: Given informationVector V = (-3, 5)

Q: nd the vector that has the same direction as <3, -1, 4) but has length 52.

A: First find unit vector of direction then multiply with given magnitude

Q: For vectors and shown, drawu - 2 13 19 V

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Q: Find the sum of the given vectors. a(-2,5) b (7,-2) a+b=?

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Q: 3. For the vectors d = (2,11, -3) and 7 = (-7,0, –1), find proj, d.

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

A: We have

Q: Find the sum of the given vectors. (2, -4), b = (-1, 7) a + b = Illustrate geometrically.

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Q: Two vectors ñ and m are said to be parallel if n-m-0

A: False

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: For the vector, find V, -V, and 4V. 2 v = (-5, 7) 4V=

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: (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: If P1 = (-2, 3), P2 = (-1, 5), and v is the vector from P1 to P2. Solve, a. Write v in terms of i…

A: P1-2, 3 &amp; P2-1, 5   a. v=-1--2i+5-3j   ∵Vector v with initial point a, b &amp; terminal point c,…

Q: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

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Q: Q3. Find the cross product of the vectors and .

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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: For what values of a and B will the vector (a, 1, B) be orthogonal to (4, 0, 3) and (-1, 1, 2)? a =…

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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 = &lt; - 3 , 6 &gt;  n = &lt; 0 , 7 &gt;  Find :  3 m and m - n

Q: -6 --5 Let z = and y . Find the vectors v = 47, ủ =i + ÿ, and w = 47 + y. w = || ||

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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: 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.