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

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: Find the length of the vector I -6 -5 ||

A: x→=x1x2x3length of vector x→ is (x1)2+(x2)2+(x3)2

Q: Prove the property if a and b are vectors and m is a real number.0 . a = 0

A: Given: If a and b are vectors and m is a real number. To prove: 0·a = 0

Q: Suppose and are non-zero, parallel vectors. Which of the following could not possibly be true?

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Q: Suppose u = (-3, 2) and v = (10, 2) are two vectors that form the sides of a parallelogram. Then the…

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Q: Given that a = (1,1) and b = (-1,0). Find a vector in the same direction as but a+b five times as…

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Q: Suppose a,b and c are vectors then a.(bxc)= -(a.(cxb)) 0 صواب İhi O

A: We know that if a , b and c are vectors then

Q: -4 Evaluate x if the vectors 2 and are: 5 a perpendicular b parallel

A: x2 & -4  5 a. Since the vectors are perpendicular, therefore their dot product is zero. That is,…

Q: Find the sum of the vectors and illustrate the sum geometrically.u = (4, −2), v = (−2, −3)

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Q: Find vectors A and B such that A is parallel to (2, 1,-1), B is perpendicular to (2, 1, -1) and A +…

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Q: The vectors u = and v= - are not parallel if and only if Select one: O True O False x = 18

A: I am attaching image so that you understand each and every step.

Q: Suppose thatu and v are vectors in both of length and that the length of u-v is and the angle…

A: Let's find.

Q: Find the value of k for which the vectors 4 and 4 k are orthogonal. k =

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Q: The two vectors a = (-1,2,-4) and b = (2, -4,-8), are not parallel but are orthogonal. Select one: O…

A: Given vectors:- a=-1,2,-4 b=2,-4,-8

Q: \(\) The vectors u= and U= are not orthogonal if and only if x=-136 Select one: O True O False

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Q: Find the unit vector of n = (4,-3) .

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Q: If vector AB = i + 4j - 2k and B is the point (5, 1, 3), find A.

A: Given,

Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select…

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Q: Find the sum of the vectors and illustrate the sum geometrically.u = (−1, 4), v = (4, −3)

A: Given Data The first vector is u= (-1, 4). The second vector is v= (4, 3).   The expression for the…

Q: The vectors and are parallel. True False

A: Recall: ⇒ Two vectors are parallel if one is a scalar multiple of the other.         i.e, Let a→ and…

Q: . Given two vectors = w a = a2 show that

A: Given w→ = w1w2w3a→ = a1a2a3 We know that the cross product of w→ and a→ is w→×a→ = ijkw1w2w3a1a2a3=…

Q: Show that the pair of vectors is perpendicular. 3? + ? and ? − 3?

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Q: Show that the set as; S = {(1, 1, 1), (2, 3, 3), (0, 1, 2)} spans R^3, write the vector (4,6,7) as a…

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Q: 19. Show that the pair of vectors 8i+j and i-8j is perpendicular.

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Q: 2. If å and b are two vectors with lengths 2 and 5 and angles between 150°, respectively, obtain the…

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Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: if vector AB =(-7i+3j+8k) and the point A= (-2,-2,6) find B

A: Given, AB =(-7i+3j+8k) and the point A= (-2,-2,6) Let the coordinates of B be (x,y,z) Now, AB = B-A…

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

A: False

Q: 1. Find the sum of the vectors (3,-1) and (-1,5) and illustrate geometrically.

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Q: Find three different vectors that are in the span of the given vectors. 9- 7 U2 = 4 -2 6. 2

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Q: Under what condition for the real numbers a,b the vectors (b,-1)(2,a) are linearly related

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Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: For any vectors u, v in R', we havelu + ū|? = [u|2 + [ū]2 True False

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Q: For any two vectors ā and 5, show that (1+laf)(1+|5)=|1-a5f +a+5+āxbf.

A: Explained below

Q: 8. If the vectors in the figure satisfy |u| = |v|= 1 and u + v + w = 0, what is w ? u W V

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Q: If two vectors a+b and a-b are parallel, then a and b are parallel. Select one: CTrue O False

A: Note: since you posted multiple question. As per our guidelines ,we are supposed to solve one at a…

Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

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Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: For what value(s) of k are the vectors ü (2k, 5, k) and v = (3, -8, k) perpendicular

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Q: The vectors (8, 6) and (k, 12) are parallel. What is the value of k

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Q: If two vectors a+b and a-b are parallel, then a and b are parallel. Select one: O True O False

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Q: Verify that the two expressions are equal using the followi vectors Á = az + 2a, + 3a,, B = ax – ay…

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Q: Among all unit vectors ū = in R', find the one for which the sum x + 2y+ 3z is minimal.

A: To make the sum minimal, take two vectors u and v such that, x+2y+3z=u.v where u=<x,y,z>,…

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: A- If P1(1,3, –2) and P2(4,7,-2) are two points. 1- Compute the length of 2P,P2 2- Is the vector…

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Q: Find two vectors a and b such that projba = <4, -2, 8>. That's all the information I was…

A: It is given that,

Q: If dim(V)=n, then any n independent vectors span V Select one: True False

A: 1. If dim(v)=n, then any n independent vectors span V2. The set S={1,x} is a basis set for P1 (set…

Q: If ả = 2ỉ + 33, b = j – ỉ and ở = 33 are vectors in 2D, then determine the of a + 3b + c

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.