3. The components of a second-order symmetric tensor tare T12=2 Tm-1 T21=2 T 1 The components of a vector V are V=5 V3=3 Vy-2 Please calculate the following (a) t•V (b) V•t

Q: True or False Work is a physical example of a vector

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Q: Vectors What is the resultant of vectors a and b? ( A

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Q: Using || || and 0, give the vector in (x, y)-form. II

A: We have to write the x,y form of vector v.

Q: y 1 0 7 -2 -1 Enter the y-component of the vector in the box below. 0 X

A: Use the vector knowledge to solve. A vector is resultant of its y component and y component…

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: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Find the magnitude of vector v. -1 1 -1 -2 -3 -4 -5 1 2 V ليا 3 + 4 5 (4,-3) K H

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Q: Imagine we have a tensor X and a vector Vi, with components 2 0 1 -(:) 1 1 0/ Xij 103 Vi= (-1,2,0).…

A: As per the question we are given a rank two tensor Xij and a 3d vector Vi  And we have to : Find…

Q: A three-dimensional unit vector parallel to the y-axis is

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Q: u = 3i - 5j + 2j and v = 7i + j -2k find the vector projection of u onto v

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Q: Can a vector in a vector space R -4 - 2 be 2. span by -1 2 イ

A: Span of vectors.

Q: (a) Given that V= əx ə a i+ j+ -k. Show that V.VB=V²B where is a scalar ду əz (b) If M and N are…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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Q: Find the magnitude vector v=(2,-3,5)

A: To Find: Magnitude of vector v=(2,-3,5) We know that magnitude of (x,y,z) is x2+y2+z2   therefore…

Q: Find the absolute minimum value on [0, ∞) for f(x) = 3x² - 6x + 9. Select the correct choice below…

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Q: Find a unit vector in the direction of u =

A: Here is the solution:

Q: i. BC if x = 2 and y =2

A: In right angle triangle BOC.

Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-24, –7) (a)…

A: Unit vectors

Q: . Prove that there is no distinction between contravariant and covariant vectors if the…

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Q: Is (1, 1) a unit vector? Explain.

A: We know that if any vector a→=a1i+a2j+a3k will be a unit vector then its magnitude a→=a12+a22+a32…

Q: The vector V = is an example of a unit vector.

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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: A force of magnitude 40 Newtons is applied to an object in the direction of the vector AB where the…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.