On the diagram to the right, what are the components of the resultant of the three vectors shown? * (1 Point)

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: Find the sum of the vectors (–1,4) and (6, –2) and illustrate geometrically.

A: A vector V→=a,b can be represented on the cartesian plane, From the vector law of addition,…

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

A:

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

A: Explanation:

Q: A vector starts at point ( -3, 3) and ends at point (-1, -5) what is the vertical component of the…

A:

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: Express the vector (-1,5,-6) in R'as (2,0,7), (2,4,5) and (2,-12,13). linear combination of

A:

Q: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

A: A vector starts at point ( -4, 1) and ends at point (-1, 1) what is the horizontal component of the…

Q: Express the vector (-1, 0) as a linear combination of the vectors (-1, - 1) and (-1, 1). (-1,0) =…

A:

Q: What position vector is equal to the vector from (3, 5, -2) to (0, -6, 3)?

A: We have given two vectors;  (3, 5, -2) , (0, -6, 3)

Q: Find the components of the vector whose initial point is (2, 2, 4) and terminal point at (0, 2, 0).

A:

Q: Find the sum of the given vectors. a - (3, 0, 2), b- (0, 6, 0) Illustrate geometrically.

A: Given, Two vectors  a = ⟨3, 0, 2⟩   b = ⟨0, 6, 0⟩  We have to find the sum of vectors and illustrate…

Q: Do the vectors (1, 0, 0), (0, 1, 0), and (2, 3, 0) lie on the same plane? Briefly explain how you…

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Q: (1 point) Find a vector orthogonal to both (-2, 2, 0) and to (0, 2, 3) of the form

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

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Q: How two-dimensional vector is determined?

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Q: We say that two vectors are equivalent .if they have the same components

A: Ginen statement, Two vectors are equivalent if  they have same component.

Q: Find the vector in the same direction as <1, 1, 0> whose component in the direction of <2,…

A: Let  us suppose that

Q: What is the component form of the vector with an initial point of (-2,5) and a terminal point of…

A: Given that ,  The vector with  Initial Point = (-2 , 5) Terminal Point = (7 , -3).

Q: Find the scalar equation for each line: (a) a line through the point (-6, 7) with direction vector…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the component form and length of the vector v that has initial point (3, −7) and terminal point…

A: Given: Initial point (3,-7) and terminal point (-2,5).

Q: Identify if the vectors〈-1,2,-1〉and 〈2,-4,-1〉parallel or not

A: Two vectors are parallel if the ratio of each component are equal.

Q: Find the (a) component form and (b) length of the vector with initial point P(-3, 4, 1) and terminal…

A:

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

A: The given statement is " A vector whose initial point is at the origin".

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 the vector that has the same direction as (3, 2, -6) but has length 5.

A: Just follow the flow and you are done.

Q: Find a vector of length 3 pointing in the same direction as .

A: Find a vector of length 3 pointing in the same direction as 4,-3,-4

Q: Express the vector v with initial point P and terminal po P(-9, -7), Q(-3, -3)

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

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

Q: Find two unit vectors orthogonal to both (6, 9, 1) and (-1, 1, 0). (vector with the smaller…

A:

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

A:

Q: Find the vector of length 2 making an angle of 45° with the x-axis.

A: Find the vector from the given data

Q: Find the sum of the vectors (3,0,1) and (0,8, 0) and illustrate geometrically.

A: Solved below

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

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Q: Find a vector orthogonal to both (-4,-4,0) and to (0,-4,-4) of the form (100)

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Q: What is the component form of the vector whose tail is the point (-3, 2) and whose head is the point…

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Q: Find the coordinate vector of [3, -4, 7]

A: We have to find the coordinate vector of (3,-4,7) relative to the ordered basis B. Since (a,b,c) is…

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

A: Solution:

Q: Is it possible to write the vector (-5,11,-7) as a linear combination of the vectors…

A: See the attachment

Q: Write the vector (7, 4,-12) vectors (-2, 1, 2), (1, 1, –2) as a linear combination (if possible) as…

A:

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: Find three vectors (none of them parallel to a coordinate axis) which have lengths and directions…

A: We have to find three vectors (none of them parallel to a coordinate axis) that have lengths and…

Q: )Find the vector in R2 from point A = (8,9) to B = (-3,5). AB = help (vectors)

A:

Q: Chapter 11, Section 11.2, Question 025c Find the component form of the vector v in 2-space that has…

A: We know that  ||v||=x2+y2=r||v||=8x2+y2=8=rso r=8   Component of vector v  can be written as…

Q: Explain how to find the dot product of two vectors.

A: The dot product of two vectors is the product of the magnitude of the two vectors and the cos of the…