How are a vector and a scalar different?

Q: What is a vector?

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

Q: A forklift is used to offload freight from a delivery truck. Together, the forklift and its contents…

A: Given data- Weight of the forklift and its contents F = 800lb We have given that the weight is…

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: Explain Scalar times vector.

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 the zero vector?

A: We have to define

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: How do you determine if two vectors are orthogonal?

A: If we are given two different vectors , then they are orthogonal if they are  perpendicular to each…

Q: What is the dot product of a vector with the cross product that this vector has with another vector?

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: Write expressions for the scalar and vector projections of vector b onto vector a Illustrate with…

A: we will find the scalar and vector projection of vector b onto a.

Q: How two-dimensional vector is determined?

A:

Q: A forklift is used to offload freight from a delivery truck. Together, the forklift and its contents…

A:

Q: If a vector is expressed in terms of i and j, explain how to find the scalar multiplication of the…

A: The vector quantity has both magnitudes as well as the direction. if we multiply a vector by a…

Q: Write the Equation of a Plane in Vector form and Scalar form.

A: The equation of a plane in Vector form is given by n→·r→-r→0=0, where n→=a,b,c is a normal vector…

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

A: How do you find the vector component of one vector orthogonal to another vector?

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

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

Q: Draw an example of two opposite vectors that are not parallel or explain why such vectors don't…

A: To find: Two vectors opposite in direction which are not parallel. or, Explain why above two vectors…

Q: Find the dot product of vectors and .

A:

Q: Normalize the vector

A: Given vector is v=  2-1  3

Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: Write a vector equation and a scalar equation for a plane.

A:

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

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Q: What role does the curl of a vector play in an application?

A: We have to write the curl of a vector play in an application.

Q: Define the term vector.

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

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Q: Write the vector shown above in component form. Vector -

A: you move 4 unit left and 3 units up

Q: determine the magnitude of the vector ∥⟨2,8⟩∥

A:

Q: Define the term column vector.

A: Column Vector is defined as a column matrix representing the elements of any vector written in…

Q: Define the vector?

A: we have to define the vector.

Q: Wete a system of equations that is equivalent to the vector equation: 国-

A: The solution to the given question is explained below.

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: Calculate Using 1.Gm a) Vector sduion b) scalar solution c) Ic soluñ0 3.Sm

A: ..

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

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Q: When is a vector incomprehensible and when is a vector irrational?

A:

Q: Write expressions for the scalar and vector projections of vector b onto vector a. Illustrate with…

A:

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

A:

Q: Determine whether the vector v = 8 is spanned by the vectors and 3 or not.

A: Given three vectors and we have to find if  v=789 is spanned by111 and 123

Q: Illustrate and explain how to compute the vector product of two vectors.

A: Given query is to find explain vector product.

Q: .3

A: Given: v={ √2,3√2}

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: What is a position vector?

A: What is a position vector?