How do you add two vectors algebraically? Geometrically?

Q: Find the unit vector that points in the direction of [ 2 7 1 -7] + [1 -1 2 8]

A: What is Unit Vector: Geometrical objects with magnitude and direction are called vectors. A starting…

Q: Find the angle a between the vectors  [ -5 ]    And    [ -2 ] [ 5 ]                 [ 3 ]

A: To find the angle between the vectors

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: solve this using vectors?

A:

Q: How do you subtract two vectors algebraically? Geometrically?

A: Let the two vectors be a→ and b→. To find the difference between two vectors algebraically, that is…

Q: Find the magnitude of the vector (-4, 2). Write your answer in simplified radical form.

A: Magnitude of a vector means length of the vector. Let A= <a, b> be a vector then formula for…

Q: How do you add two vectors geometrically? How do you add them algebraically?

A: To add the vectors we position them to head to tail  Then we connect the loose end points of them…

Q: Find the sum of the vectors and illustrate the sum geometrically.u = (4, −2), v = (−2, −3)

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Q: Find the unit vector of A=3ax+2ay-3az

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Q: 4. Subtract the vectors shown. (blue - green)

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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: Find the magnitude of the vector. (-3, – 7)

A:

Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

A:

Q: solve for th e vector x in terms of the vectors a and b. x - a= 2(x - 2a)

A:

Q: 1. Determine the dot product of the two vectors in the diagram.

A:

Q: Write the vector equation that is equivalent to the system of equations: 12x1 13x2 11x3 14x1 2x2 6x3…

A: Simply write the each coefficient of x1 , X2 & x3 in each column respectively.

Q: What is the component form of the vector represented by 8a when a = (-5, 3)? Enter the answer in the…

A: Scale product of the vector

Q: -7 -3 Find out the area of the triangle whose two sides are given by the vectors: V1 and v2 = -5 8 1…

A:

Q: Although I expected vector operations to produce another vector, the dot product of two vectors is…

A: The dot product of vectors is also known as scalar product of vectors. When we find dot product of…

Q: Use paper and pencil to identify the redundant vectors. 2 1 3. 4. 3. 4.

A: We have to identify redundant vectors.

Q: 6. We have two vectors: a =) and b= 8 What is the resultant of -a plus b? (

A: Given:     To find: -a + b

Q: (a) How do you tell if two vectors are parallel?

A:

Q: How are vectors added and subtracted geometrically? Algebraically?

A: Vector Addition Geometrically:

Q: V. 3. V3

A: We have to solve given problem;

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

A: Given V1=(-3,7) and V2=(5,5) To check V1 and V2 are basis for R2.

Q: of each pair of the given vectors -2 -4 6 -6 V2 -2 -1 2 8 7

A:

Q: solve for th e vector x in terms of the vectors a and b. x + 2a - b = 3(x +a) - 2(2a - b)

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Q: Determine if the vector is a linear combination of the remaining vectors. Explain the steps.

A: We will check whether the vector v is linear combination of others or not.

Q: Q4) Determine if the vectors below are independent. Justify your answer. -3° - ,V2 = [2. v, = |0|…

A: Given that:      v1=002, v2=05-8, v3=-341

Q: How can you tell when vectors span a certain R^? Please explain in the most simplistic detail>

A: Let S=v1,v2,v3 And v1=1-12;v2=213;v3=-102 Does SpanS=ℝ3? if any vector in ℝ3 can be expressed or…

Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

Q: 9. What is the component form of the vector that translates the top triangle to the bottom triangle?…

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: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

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Q: Which vector is the result of a + b?

A:

Q: What is the component form of the vector that translates the top triangle to the bottom triangle? 4…

A: Top trinagle vertices is given by (-2,4), (-2,1), (2,1)

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

A:

Q: How could you describe vector subtraction geometrically?

A: We have write about  vector subtraction geometrically

Q: What is the dot product of the vectors (4, −10, 3) and (1, 1, 5)? a) -113 b) 0 c) 4 or d) 9

A: Given :(4, −10, 3) and (1, 1, 5)

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

A: Given query is to find explain vector product.

Q: Find the vector product 6 6 2 7

A: for the given vectors the vector product is 61224

Q: a-(:) We have two vectors: a = and b= What is the resultant of -a plus b? (

A:

Q: Sketch the vector ? = ⟨−2, 4⟩.

A: Given: Consider vector V=<-2, 4>

Q: You have two vectors: Ā = 7 ĵ B = 9 ĵ What is the y-component of the vector A+ B ?

A: let r=xi+yj+zk then x component of vector is i y component of vector is j z component of vector is k…

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

A: Given:- A=1121075  and  b=465

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 a between the vectors 3 a || -1 -2 - and 1

A: