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

Q: If v = 7i + 3j and w = 4i - 5j, find each of the following vectors: a. v + w   b. v - w.

A: v=7i+3j  and  w=4i-5j   a. v+w=7i+3j+4i-5j=7+4i+3-5j=11i-2j

Q: PQRS is a parallelogram and X is on the side QR. If vector PQ=3i+j, and  vector XQ=2i+j. find PX.

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Q: Write the vector v in the form ai+bj​, given its magnitude is v=39 and the angle it makes with the…

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Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

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: If v = 5i + 4j, find each of the following vectors: a. 6v   b. -3v.

A: v=5i+4j a. 6v=65i+4j=6·5i+6·4j=30i+24j

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

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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 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: if these vectors A = 4i – 2j + 4k and B = 4i + 5 j

A: we have ;  A→=4i-2j+4k ............(1)B→=4i+5j+0k  ...............(2)

Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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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: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: *to find:- angle between the vectors u & v.

Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. ||v - w ||

A: Given vectors are: v=3i+j-2kw=-3i+2j-k We have to find v-w.

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: nd the values of a for which vectors A and B are perpendicular where A = 2i+j+ ak and B = 2i+aj+k.

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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 v = 4i + 2j – 3k and w = 3i – 4j + k. Find | 2v- w| А. V41 В. /126 С. V65 D. V138

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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 the vectors u = 2i+j and v = 4i-6j, find 4u and u-v. Write your answers in the form a i+bj. 4u…

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Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. 4v - 3w

A: To Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. 4v - 3w

Q: Given the vectors u = -i-5j and v =-3i+2j, find u v

A: Given vectors are  u=-i-5j     and   v=-3i+2j

Q: Given the points A: (-6,6,-5) and B: (3,-1,0), find the vector i AB i = <

A: Since, we have been given the points A (-6,-6, 5) and B(3,-1, 0).Our Aim is to find the vector u⇀…

Q: Given the vectors u= 6i-2j and v=-i+9j, find 3u and u+v. Write your answers in the form ai+bj. 3u =…

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Q: Given the vectors u 4i – 2j and i 8i 101, perform the operations below. +几

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Q: 36) Find the values of x and So the vectors 2i+3 and xi +4j are equal.

A: Two vector are equal if and only if their magnitude are equal and have same direction.

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

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Q: Given vectors a, b, c, such that a = 5c + 3d and b = 2c -d, 2a -3b in terms of c and d. express

A: Given vectors, a= 5c+3d b= 2c-d

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

A:

Q: If v = 7i + 10j, find the vector 8v.

A: Given: v = 7i + 10j To find: The vector 8v.

Q: Given the vectors v = 3i-8j and w = 6i-j, find 5v and v+w.

A:

Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: The dimension of the given box is 1×2×3.

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 the given vectors, a = 5i + 6j + 7k, b = 8i + j+ 3k and c = 2i + 3k, which statement is true:…

A: To DETERMINE :-  For the given vectors ,  a = 5i + 6j + 7kb = 8i + j + 3kc = 2i + 3k which statement…

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

A:

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: 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: Given the vectors i = - 2i - 6j and v = 8i – 5j, perform the operations below. u + =

A: Vector problem....

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: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Q: For the given vectors below, Solve for Vector č = (Ã+ B) × (÷ (B × Â)) %3D A = 3i+2j - 6k B = 31 -…

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Q: For the two vectors a = 7i-4j+2k and b = -6i+3j-5k find the scalar component, compąb

A: Consider the formula for the scalar component. Find the dot product for a and b and magnitude of a.…

Q: Given two vectors P = 9i + 9j + (-9k), Q = (-6j) The angle between the two vectors is

A: We have two vectors P=9i+9j-9k and Q=-6j. Then the angle between the two vectors.

Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.

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.