and (V, V2, Va) V- V = vu + VzUz + Vg3

Q: How do you find the dot product a. bof two vectors if you know their lengths and the angle between…

A:

Q: Find parametric equations for the line whose vector equation is given (a) (x, y) = (3, –5) + t(1,…

A: A)x, y =3, -5 + t 1, -2x, y =3, -5 + t, -2tx, y =3+t, -5-2t Parametric equations of the line:x= 3 +…

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

A:

Q: Determine whether the statement, "Although I expected vector operations to produce another vector,…

A:

Q: Write unit vector for AB in component form when point A = ( 0,0 ) and point B = (-4, 8 ). %3D %3D

A: Formula: for the vector a→ the unit vector a^ is a^=a→|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: If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the cosine of…

A: Given ,  If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the…

Q: Determine the equations of the line (vector, parametric, Cartesian and general) that passes through…

A:

Q: Explain when a projection vector is negative, positive, or zero.

A: This question is based on dot product of two vector.

Q: 4. What are the various applications of the dot product? Explain how the dot product is used to…

A: We will use the basic knowledge from vector calculus to answer this question correctly and…

Q: Find the angle between vectors a= (-/2, 0, v2) and b = (-1,1,0). %3D

A:

Q: Describe the Z-axis in R as the span of a vector. Can you describe it as the span of other vectors…

A:

Q: When two vectors are perpendicular, their a. Both are zero b. Dot product is zero c Cross product is…

A:

Q: Define the dot product (scalar product) of two vectors. Which al-gebraic laws are satisfied by dot…

A: Let (a1,a2,a3,....) and (b1,b2,b3,...) are two vectors. Then the dot product is defined by:

Q: Sketch the vector w on the grid on the right and label its coordinates. Vectors and + w are…

A: First write this in vector form then put this on the graph.

Q: help me is for my test of today -II- Find two vectors in opposite dimensions that are orthogonal to…

A:

Q: I’m working with a unit vector, so its dot product with itself must be 1.Determine whether the…

A: Since, a unit vector is one whose magnitude is always 1. And the formula for the dot product between…

Q: 5. Use your knowledge of vector dot product to explain why the following product is either true or…

A:

Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

A: We have to find the dot product

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

A:

Q: Define the dot product (scalar product) of two vectors. Which algebraic laws are satisfied by dot…

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Q: You know that vectors show not only magnitudes, but directions as well. Explain how vector functions…

A: we know that vectors show not only magnitudes, but direction as well. we have to explain how vector…

Q: Explain with the help of an example whether the angle between vectors is acute or obtuse.

A: As the Angle Increases, the Name Changes: Type of Angle Description Acute Angle is less than…

Q: Find a method that uses the Dot-Product to decide for three randomly chosen points P, Q, and R in…

A: Let us sketch a figure relating to the problem

Q: What do you mean by vector product/cross product?

A: We have describe vector product/cross product.

Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the…

A:

Q: True or False A vector in space may be described by specifying its magnitude and its direction…

A: Answer: True.

Q: Find the coordinates of vectors which form the sides of ABCD

A: As per our company policy, I am supposed to answer only one question at a time. For the rest please…

Q: Let u =⟨2,2,1⟩which makes an angle of 30∘ with v. If the dot product of vector u and v is 6. What is…

A: Given:   To determine: The magnitude of vector v

Q: show that outer product for two vectors not rotation and not commulative ? justify your answer

A: The outer product is defined as, Consider x=x1x2x3⋮xn and y=y1y2y3⋮yn are two vectors from ℝn. Then…

Q: Find the dot product of the following vectors u and v. %3D

A: The dot product of u and v Vectors is -16

Q: direction as the vector from the point ?=(0,3) to the point ?=(−2,−2)?

A: Given query is to find indicated vector.

Q: Dot Product of two-unit vectors is a unit vector. True False

A: Concept used: Consider two vectors as A→ and B→, then the dot product of these two vector is defined…

Q: Find the angle 0 between the vectors. и%3D (0, 1, 0, 1), v%3D (5, 5, 5, 5) 0 = radians

A:

Q: (b) Convert vector V = 1a, + 4a0 + 3a, from spherical to cartesian at point P = (3, 60°,60°)

A:

Q: Let a = (– 9, – 4, 1) and 6 = (10, 4, 5). Compute the projection of a onto b and the vector…

A:

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: Mathew wants to throw a bouncy ball at the ceiling so that it bounces down and lands on Wiley's…

A:

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

A:

Q: 1. What is the appropriate dot product technique for both Cartesian and Geometric vectors?

A: Given

Q: Please provide a well explained answer for the follwoing. And explain what are the main features of…

A:

Q: Dot Product of a vector with itself is equal to the square of its magnitude. True O False

A: Follow the steps.

Q: What is the vector (v) whose tail and head are the midpoint (vectorAB) an the midpoint (vectorBC),…

A: Given points are,

Q: Use your knowledge of vector dot product to explain why the following product is either true or…

A:

Q: Explain Properties of Vector Operations?

A: Query- Explain Properties of Vector Operations. Answer- There are two things required to defne a…

Q: Find the distance between the two vectors 2 W =

A:

Q: Find the angle between vectors a=l 3(-V2, 0, v2) and b = (-1, 1, 0). %3D

A: here we have to find angle between given point

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.