Use the given pair of vectors, v= 7i+8j , w= -8j , to find the following quantities. State whether the result is a vector or a scalar. Enter all vectors in component form (a, b) • v+ W • || V+ w || • I|v||+ ||w|I ||w|| v Select all the quantities that are vectors. O ||v|| + ||w|| v + w O||v + w| Select all the quantities that are scalars. 미v + 삐 Ov+w O||v|| + ||w|

Q: What is a vector?

A: A quantity that has magnitude as well as direction is called a vector.

Q: Draw the vector to show: (а) (b) (c)

A: A→ = AxAy , This is the representation of vector in matrix form. These type of matrices are called…

Q: 'S' is a collection of vectors. Show that the rank of S is equal to the dimension of Span(S). Please…

A: Let  is a collection of vectors. Now, let the rank of is equal to  (say).It's row reduced eschelon…

Q: 9. Show that is a two-dimensional vector. Ai = -x2 X1

A:

Q: I have the following vectors, I have a problem with understanding why one becomes 'a+b' and the…

A: Vectors are geometric objects with both magnitude and direction. We will consider two vectors, a and…

Q: Find a matrix A such that W = Col A. W [2s-5t] 2t 2s+t :stin R

A:

Q: 3. Let 7 be a non-zero column vector in R" and 7 be a non-zero column vector in R". What is…

A:

Q: A vector is written as aî + bĵ. What form is that?

A: A vector is written as aî + bĵ.

Q: Q2) A- Use two methods to create the vector x having 100 regularly spaced values starting at 5 and…

A:

Q: 3. Write ū as a sum of vectors, one in the direction of and another orthoganal to a. 18 [4] -5 [3³]

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: 1. For non-zero vectors, a and b, show that axb =a5-(ā • 5} . %3D

A: For non-zero vectors a→ and b→ we have to show that: a→×b→2=a→2b→2-a→·b→2 Assuming, a→=ib→=j Putting…

Q: De termine if the vectors 2 re lincarly independent or linearly dependent Please explain your answer

A:

Q: Identify the type of answer that results from each operation (vector or scalar). If the operation is…

A:

Q: 5 Aaron and Maya want to write the vector u = -5 as a linear comb -19 -2 1 V1 -2 V2 = 1 and V3 = 2…

A: The { v1 ,v2 ,v3 } is not a set of orthogonal vectors.

Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: 6. What are the advantages and disadvantages of algebraic vectors compared to geometric vectors?

A: Explanation:

Q: Give 2 vectors of length 7 that are parallel to (-1, 2, –2).

A: Find the required vectors

Q: If a = (4, 0, -1), find a vector b such that comp₂b = 3. b = X

A: a=<4,0,-1>ab=3ab=a→.b→a→let b=<b1,b2,b3>

Q: set

A:

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.