Given vector A = 2а, + ба, За, and vector - B = – 3a, – 4a, – 5a,. Simplify the given mathematical operation below. - - - (A+3B) • B B+ 3A

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: 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: Use the figure to find the specified vector. Find -a. OT -10-8-6 6'8 10X -161 (-3,-7) O (7,-3) O…

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Q: Find a unit vector having the same direction as the given vector. (-7, 7)

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Q: How do you subtract two vectors algebraically? Geometrically?

A: Let the two vectors be a→ and b→. To find the difference between two vectors algebraically, that is…

Q: n = (-16, -30)

A: A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.…

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

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Q: -9 Vị V2 -2 -8 13 ? -32 Which weights should be used for b = a1vị + a2V2 to obtain the vector b = a1…

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

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

Q: Find the unit vector of A=3ax+2ay-3az

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Q: Find a vector equation for the line that goes through the points (7, 6, 2) and (2, 14, 2). 7(t) =…

A: The vector equation of a line passing through any two points with position vectors a  and  b is…

Q: Determine if the vector 2 b -A = 3 5 can be written as a linear combination of the vectors ---- 1…

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Q: Express the vector in the form v = V¡i + v2j + v3k. P2 if P1 is the point (4, -5, 6) and P2 is the…

A: Given :                      P1 4,-5,6 and P2 6,-8,2

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: Given that - (1, 2, 3) and - (4. 0, – 4) find the vector where %3!

A: In this question we have to find the vector z.

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

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Q: Write the vector (1, 2, –1) as a linear combination (if possible) as of the vectors (-1,2, 1), (2,…

A: Solution: The objective is to determine whether the given vector is linear combination of the given…

Q: If w = -2i + 6j, find the vector: [2(-2) + 4(-6)]w/lwl2.

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Q: For the vectors u= (-8,0,3) and v= (1,3,-3), calculate proj,u and scalvu.

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

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Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v simple

A: Given vectors are u=<3,2>and <9,1> Now, we will find the given value.…

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=

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Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: Given u = (-3,4) and v= (-3, 4), find the vector 3u- 4v." Select the correct answer below: O (3, 8)…

A: Given,             u→=< - 3, 4 >            v→=< - 3, 4 >

Q: Find the vector -5u-3v given the vectors u 5i+j and v = 2i-3j. Write your answer in the form ai+bj.…

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Q: write the given vector in terms of I and J. u={-8, 10} u=???

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Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

Q: Q1) If a vector gets multiplied by a positive number, its direction * .will be reversed

A: Given statement : If the vector gets multiplied by a positive number, it's direction will be…

Q: For Exercises 20–25, perform the indicated operations on the following vectors: ā - 27 +k, i --37 +…

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Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: Which two vectors are perpendicular to both å and b?

A: result of vector cross product of two vector is perpendicular to both the vectors.

Q: Find the magnitude of the resultant vector. (-25.6, 7.7)- (-11, -9.8) 1R

A: letA→=-25.6, 7.7 and B→=-11,-9.8

Q: Find the direction of the resultant vector. (-25.6, 7.7) - [?]° (-11, -9.8) Round to the nearest…

A: topic - vectors

Q: If vector u=2:1+2:/ and vector V =5./+4/, simplify each of the following, writing your final answer…

A: Given:    u = 2i + 2j    v = 5i + 4j

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. u- 31, v- 2i - 9j 2u - -3v - 3u - 4v…

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Q: 1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

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Q: For the vectors, u=−1,0,5 and v=1,4,−4, calculate projvu and scalvu.

A: Vector projection

Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

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Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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

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

Q: For the vectors given here, what are the coefficients in the 123-coordinate system of the tensor B…

A: In order to find B that is the coefficients in the 123 coordinate system,  tensor product of u and v…

Q: For the vector, find 1/2(V),−V, and 4V V= (-5,9)

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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: Determine if the vectors t= %3D(-16, 24) and s= (3, 2). are orthogonal, parallel, or neither.

A: We have to calculate dot product and magnitude of the given vectors

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.