Which of the following statements is not true for vectors a, b and c and scalars a and B (A) a.b+a.c is a scalar value (B) a. (ab) is a scalar value (C) a. (b + c) is a vector value (D) a.b+ lc is a scalar value (E) aa + Bb +c is a vector value

Q: Q) Let û = 2745, Vz+3 , and w=T-5 find Scalars a and b such that u - av + bw

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Q: What does it mean for one vector to be a scalar multiple of another vector? How can you tell whether…

A: What does it mean for one vector to be a scalar multiple of another vector? How can you tell whether…

Q: Define zero vector.

A: Define zero vector.

Q: Two vectors are considered equivalent (equal) vectors if they and

A: Every vector quantity has dimension as well as mangnitude.

Q: What is the resultant of vectors a and b? ( A ) GL B

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Q: 3. Which vector is not equal to zero? a) ix (j×k) b) (ix j) × k c) (i × i) × j d) ix (ix j)

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Q: Tensorial Calculus If (Ui) and (Vi)  are contravariant vectors, check that (2Ui+3Vi) is also…

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Q: We know that there are two ways to multiply vectors: the vector and scalar product. How about vector…

A: Vector division is not possible .

Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: The vectors listed in Eq. (10) are used in several of the exercises that follow. VI = [2]· 2 -[3].…

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Q: Assuming a vector a(2,1,3) and a vector b(-1,2,2) Length vectors Calculate 2a-b and a + 3b.

A: In this question we will use basic of vector addition, subtraction and Multiplication.  First we…

Q: V₁ = V1 V3 = V2= 4 [ 3 [-1] 2 3]

A: We use the properties of linear combination to

Q: Given u = (-5,2) and 7 = (-9, 12), find the vector 4u + v. Select the correct answer below: O (-23,…

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Q: Which of the following statements is not true for vectors a, b and c and scalars a andB (A) ax (ab)…

A: Here we will  check one by one and then tell about given statments.

Q: S = {(2, –1, 3), (5, 0, 4)} (a) z = (11, -8, 20) z = (6) v=(15, -) (b) 4 v = (c) w = (4, -7, 13) ]…

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Q: Given the vector equation 1 -3 3 -8 1 -5 5 7 [⁰ 0 (a) Write the vector equation in the form Avec(x)…

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Q: (a) Express the vector a × b in the form aa + 3b + yc, assuming that the vectors a, b and c are not…

A: a)  Look care fully that we need to find the coefficients   namely α,β,γ   Determination of α:…

Q: Are the vectors = [−5_3 −1], v = [02-1] and w = [-25 21 -8] linearly independent? Choose If they are…

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Q: (a + n ) ² − ( ₁ + n ) z

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Q: Determine a vector that is perpendicular to (2,-5,-1) and (4,0,1).

A: The problem is asking us to find a vector that is perpendicular to two given vectors. In vector…

Q: Pls help

A: We will use vector addition to find the answer

Q: Express the vector - 6i- 2j-9k as a product of its length and direction. - 6i-2j-9k= 11 -[A-0-8] i+…

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Q: Find the vector standard a Ā= (-3.4.5)

A: we know that if v=<a,b,c> then its standard form is v=ai^+bj^+ck^

Q: Let a, b, and c be vectors. Is it a vector, scalar, or is in meaningless? 1) ( a X b ) + a.b 2) -2 +…

A: We will whether the part 1, 2 and 3 are a vector or a scalar or meaningless as following.