Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain in details the effect of each .case

Q: What is the component form of the vector represented by 2a when a (-23)7

A:

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: Use paper and pencil to identify the redundant vectors. 4 3. 0. 0.

A: Definition : Redundant vector in a set is a vector which can be written as linear combination of…

Q: Use the figure to find the specified vector. Find -a. .. -10-8 -6 t2 4 x0T. 8.9 ...

A: We have to find -a.

Q: point for the vect

A: What point is the endpoint for the vector corresponding to T(x)?

Q: Find the component form of the resultant vector. 1) u =(-11, 2) b=(10,-4) Find: -u - b

A: As per guidelines, we'll solve only one question if multiple questions are asked. If you need any…

Q: what will be the direction of -k x -i ?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A: Solution: Consider the two vectors: u→ = u1, u2 and v→ = v1, v2 Then the sum of u→ and v→is called…

Q: Compute the dot product of the two given vectors: 27 1 3. Answer:

A:

Q: b) How do you tell if two vectors are perpendicular?

A:

Q: Use the graph below to write vectors a, b, c, and d as a linear combination of u and v 2v W 2v y n-

A: The given diagram shows the shear transformation of the cartesian plane. You can consider the blue…

Q: H.W 8- Find a vector in the opposite direction of a = (4,10) but as long. 4

A:

Q: 3. Use the given rectangular prism to state a single vector that is equivalent to a) BC + GH A B D E…

A:

Q: (a) How do you tell if two vectors are parallel?

A:

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: V. 3. V3

A: We have to solve given problem;

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated list…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: List as many equal vectors as possible for the diagram below: A B D E с

A:

Q: describe the span of the given vectors a)geometrically b)algebraically

A:

Q: е. (а-Б) х (а-d) f. (ä x5) · (č x đ)

A: Given query is to find which is meaningful an which is meaningless.

Q: Write y as the sum of a vector

A: Given,   And

Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…

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: 28 74.6°

A: Given query is to find the vector components.

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A:

Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin…

A:

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b for which the below vectors are orthogonal. −27,b,2, b,b2,b

Q: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

A:

Q: Which vector is the result of a + b?

A:

Q: Q3. Find the cross product of the vectors and .

A:

Q: Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and 6

A: Vector addition

Q: a/(a + 3) x af а.) b.) (ā - 5)7

A: Recall if you can: Dot product of two vectors is a scalar A scalar times a vector is still a vector…

Q: 2. Square ABCD is drawn as showWn below with the diagonals intersecting at E. a. State four pairs of…

A:

Q: a a

A: For first figure. a→+a→+b→+d→-c→=02a→=-b→-d→+c→a→=-b→-d→+c→2    Answer

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

A:

Q: Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

A: Given that: a=<2, 0, 3> and b=<3, 1, 2>

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: It is known that any two vectors are orthogonal if their dot product is zero. The given vectors are…

Q: Write the vector form of the line 4x-2y=3. Use this vector form only, and then plot the line

A:

Q: The expression ả o (b × č) represents O a scalar O a vector O a line something that does not make…

A:

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

A:

Q: Find the dot product of the following vectors ū and v. %D

A: From the graph, the given vectors are: u→=-4,-5 (red) & v→=-3,4 (blue)

Q: b Write the vector b in terms of the other vectors. C.

A:

Q: (d) Explain why each vector VER can be expressed in precisely one way as v u+w, where u ES and w ES.

A:

Q: Find the component form of the vector.

A: Consider the figure: Find the component of form of a vector v.   The component form of a vector in…

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.