How do you find the vector component of one vector orthogonal to anothervector?

Q: What is a vector?

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

Q: What is the relationship between vector subtraction and the basic vector operations of addition and…

A: What is the relationship between vector subtraction and the basic vector operations of addition and…

Q: Determine a vector that is orthogonal to both (1, 2, -1) and (3, 1, 0).

A:

Q: What is meant by the term translation in vectors?

A:

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: What is a unit vector perpendicular to these two vectors, which are two vectors

A: We have to solve given problem:

Q: How do I teach students to map coordinates on to vectors?

A: I am assuming that our discussion is restricted to 2D geometry. A typical vector will have a…

Q: What is the zero vector?

A: We have to define

Q: How are a vector and a scalar different?

A:

Q: How could you describe vector subtraction geometrically? What is the relationship between vector…

A: Vector subtraction can be done by geometrically by two methods. Let there are two vectors,

Q: What is the difference between a vector and a scalar?

A:

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

A:

Q: How do you find the vector from one point to another?

A: The vector from one point to other is the difference between similar coordinates of two points.

Q: What are the unit vectors in their component form?

A: Write the definition of the unit vectors that help to find their component forms. A vector is said…

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: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

A:

Q: How two-dimensional vector is determined?

A:

Q: Find the length of the vector a %3D

A: The length of a vector x→=abc is given by the equation; ||x→||=a2+b2+c2

Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj

Q: How do you find out the projection of a vector u on a vector w

A: Projection of vector u on w is nothing but the dot product of u and w divided by magnitude of vector…

Q: Find a vector that is orthogonal to (−1, 2, 2)

A: Find a vector that is orthogonal to (−1, 2, 2)

Q: Find a unit vector that is anti-parallel to the vector (1,2,0,3).

A: A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude…

Q: The two basic vector operations are scalar ________ and vector ________.

A: Our Aim is to tell the two basic vector operations.

Q: A vector whose initial point is at the origin is called a/an________ vector.

A: Consider the given: A vector whose initial point is at the origin is called a/an________ vector. A…

Q: Normalize the vector

A: Given vector is v=  2-1  3

Q: Explain how you can convert from a plane's scalar equation to a vector equation.

A:

Q: Which vector in two-dimensional space has no corresponding unit vector?

A:

Q: Find the orthogonal projection of the vector onto the vector .

A:

Q: Find a vector orthogonal to both and

A: Given query is to find the vector orthogonal to the given vectors.

Q: Define the term vector.

A:

Q: Find a Vector ū: non zero Vector perpendicular to the

A:

Q: Define the vector?

A: we have to define the vector.

Q: True or False: two orthogonal vectors ER" must be linearly dependent? Please provide a "proof"

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: 8

A: Given vector is v→=8-7-5 We have been asked to find two linearly independent vectors that are…

Q: Is it possible to take a dot and cross product of a scalar with a vector? Explain with example.

A: It is not possible to take a dot and cross product of a scalar with a vector.

Q: How do you find a vector perpendicular to a plane?

A:

Q: Briefly explain why the dot product of a non zero vector with itself does not equal zero whereas the…

A:

Q: If a vector is multiplied by a positive scalar, how is the result related to the original vector?…

A: Solution:- If a vector is multiplied by a positive scalar, how is the result related to the original…

Q: 3. Determine if the vectors linearly independent or linearly dependent Please explain your answer…

A:

Q: 1. what is the basic concept of a vector?

A:

Q: Find the component form and magnitude of vector v. 7. Initial Point (12,-3) Terminal Point (4,-1)

A: We can find the answer as below

Q: A vector has an x-component of −26.0 units and a y-component of 45.0 units. Find the magnitude and…

A: Explanation of the solution is given below..

Q: What is Vectors and vector addition? What are the vector components?

A: Vectors: A vector is what represents both magnitude and direction. Vectors can be decomposed into…

Q: Will this statement be true or false and why? The vector u results when a vector u – v is added to…

A: topic - true

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (There are many correct…

A: