v1 = (- 3.7) and v2 = (5.5) vectors Does it form a base for R^2? Why is that?

Q: Explain how vectors written in component form are added or subtracted.

A: Vectors written in component form can be added by adding the corresponding components of both the…

Q: define: unit vector

A:

Q: Find area of triangle whose vectors Р (3,3, 1), Р2-1,0,2), Р3(2,3,3)

A:

Q: What is meant by scalar multiple?

A: Let V be a vector space over the field ℝ. Take u,v ∈V.

Q: what are the examples of contravarient and covariant tensors?

A: Example of Covariant tensor: A'i=aijAj

Q: Dilate the vector (-2,6) by a factor of one half.

A:

Q: Dilate the vector (-3,5) by a factor of 3. ([ ? ],[])

A: Given vector: V=-3, 5 ……1   Also, Scalar factor is 3.

Q: Verify that ду дх %3D дх ду

A:

Q: Explain Vector error correction model?

A: Vector correlation model is used to determine the direction of causality between two variables if…

Q: Explain the term scalar.

A: Explanation: Given that, term scalar.

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: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

A:

Q: How do you find the cross product a x b of two vectors if you know their lengths and the angle…

A: If you know the length of the two vectors a and b then, you essentially know |a| and |b| And then…

Q: Find the angle between the vectors (5, -3) and (-9, -8). Carry your intermediate computations to at…

A: Using formula of Angle between two vectors.

Q: Find the unit vector with same direction as (- 5, – 1) (Please enter exact answers and use radicals…

A: The unit vector n^, in the direction if vector n = <a, b> is given by, n^=nn=a,ba2+b2

Q: When an object is located a distance of X feet from the origin, a force of x2 + 3x pounds is acting…

A: The force is F=x2+3x

Q: How do I take the derivative of vectors and matrices?

A: To explain how to take the derivative of vectors and matrices.

Q: Find the vector in component form with initial poi

A:

Q: indicated vector.

A: we have to find the indicated vector. Given : u=-6,-3   and  v=5,1we have to find 513u-1213v

Q: Which vectors, drawn on a grid from one point (on the "cross-hairs") to another have integer values?

A: Y-component of A →…

Q: Find the angle between the vectors (8, 7) and (-2, 1). Carry your intermediate computations to at…

A:

Q: 2) Subtract the (2) vectors; (4, 6) & (-8, -10)

A: The given vectors are 4, 6 and -8, -10 We need to subtract the given vectors.

Q: Find a vector in the same direction as (3, –2) with length 10.

A: The vector that has the same direction as 3,-2 has the coordinates proportional to the given vector.…

Q: Find a vector that has the same direction as (-4, 6, 4) but has length 6.

A: we have to find a vector that the same direction as <-4, 6, 4> but has length 6

Q: what is Scalar variable ?

A: A scalar variable is used for storing a value that has no internal component. The value may change.…

Q: Find the angle between the vectors (4, 2) and (7, -2). Carry your intermediate computations to at…

A: solve the following

Q: The scalar product of two vectors is defined as the product of their magnitudes times the of the…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: vector

A: We have a given matrix:  A=145224303 First we have to find a basis for col(A) and the we have to…

Q: Find the angle between the vectors (7, -6) and (7, 3). Carry your intermediate computations to at…

A:

Q: What is the component form of the vector whose tail is the point (-2, 6), and whose head is the…

A: Answer is in step 2.

Q: Try to find 8 different representative vectors of the following vector field.

A: A vector field is defined when every point in the space is assigned a vector. These are used in the…

Q: How would I write this vector in component form?

A: Given, Magnitude A=6 unit Direction A is θ=265°

Q: How do I solve these questions using vectors?

A: As per our company guidelines we are supposed to answer only first sub-parts. Kindly repost other…

Q: set

A:

Q: Find the angle between the vectors (-8, –7) and (-6, 4). Carry your intermediate computations to at…

A:

Q: Find the angle between the vectors (5, - 3) and (8, 7). Carry your intermediate computations to at…

A:

Q: find two unit vectors orthogonal to (5,-5,3) and (-3,5,2)

A:

Q: Find the area of a parallelogram with two sides identified by vectors from the origin to the points…

A:

Q: Find the angle between the vectors (-5, 4) and (-3, -1). Carry your intermediate computations to at…

A: Solution:

Q: Dilate the vector (-3,5) by a factor of 3.

A:

Q: right hand side vector. 1 1 2 10 4 7 5

A: Given:- A=1121075  and  b=465

Q: The dot product of two vectors is a ________ quantity. For this reason, it is some-times called the…

A: Let A and B be two vectors, the dot product is defined asA.B=ABcosθ, where θ is the angle between…

Q: Explain how to add vectors.

A: vector:  a quantity which has magnitude along with direction is a vector. vector addition:…

Q: Find the angle between the vectors (9, -5) and (9, 2). Carry your intermediate computations to at…

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.