2. Consider the two vectors a and b, as graphed below. 2a Plot the result of a +b on the same axes. a

Q: и Match the vectors p, q, r, s, and t with one of the combinations of the u and v vectors from the…

A:

Q: Consider the following vectors: 17 -2 -2 u = | 2|, v w = and b 3 2 When b is expressed as a linear…

A: Here we solve the system of linear equation .

Q: Which of the following vectors is parallel to the line 7x+ 14y = 20? %3D (-6,3) (8,-16) (2,4) 0.…

A: We first find the slope of the line using y=mx+b form

Q: If å = v2i +j - k, what is the vector whose alignment a is in the opposite direction and its size…

A: Given a→=2i+j−k We have to find the vector whose alignment a→ is in the opposite direction and its…

Q: The vectors a, b and c have been graphed below. Plot the result of a + b+c on the same axes. 3.

A:

Q: For what values of h the vectors -3.72%3D linearly independent are

A:

Q: Q1:The following vectors; Ā =, B =< 2,-4,6

A: To find the cross product of the vectors  A⇀×B⇀=ijk14-12-46 simplify…

Q: be a = 7+2 - 3R and B = 27 + 7- 2K determine the unit vectors parallel to the vectors a)d + B1

A: A parallel vector to the vector a+b is obtained by dividing the vector a+b by lenth of a+b.

Q: For the three vectors a, b and C , it is found that à•bxT = 0. Which statement below is true? %3D

A:

Q: Let ā = 2 and b a) Find the area of the parallelogram formed by the two vectors.

A:

Q: B- For what values of a1 are the vectors [a1,4,3] and [3,-2,12] are 1) Orthogonal? 2) Parallel? 3)…

A: Angle between two vector

Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

A:

Q: Write the projection of 2î +3j-k along the vector î+j.

A: Given that: 2i+3j-k along the vector i+j.

Q: . Given two vectors = w a = a2 show that

A: Given w→ = w1w2w3a→ = a1a2a3 We know that the cross product of w→ and a→ is w→×a→ = ijkw1w2w3a1a2a3=…

Q: 7. Find the values of m that will make the following vectors perpendicular. à = (2m, 3,1), b = (m,…

A:

Q: latél Show that if a is perpendicular to each of the vectors and then a is perpendicular to 26 +4

A: The detail solution is given below

Q: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az

A: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az

Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: If a and b are two non-parallel vectors and the position vectors of P, Q and R are a + 2b, 1/2a +…

A: answer

Q: = Find the vector equation for the line passing through the points P₁ P₂ = (2,7-13). (5,-1,-5) and

A: The given points are;  P1=(5,-1,-5) and P2=(2,7,-13).

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated list…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 6. Given the following vectors, Draw: a) a-b b) 2c + a c) - (c-b) a X b of

A:

Q: b a Which picture looks the most like a diagram for the following vectors: A = 20<50°, B = 30<120°,…

A:

Q: 1 -E---Fl 2 V2 = 0 , and v3 = -5 span R³? Why or why not? 3 Do the vectors V₁ = -31

A:

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: Which of the following vectors is shown in the graph below? ++ O f2.1.4) O 2-1,-4)

A:

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b.

Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

A:

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A:

Q: Consider the vectors x"(t) = (10) and x"() - 8t

A: Given, The two vectors  and

Q: (a) Suppose that a and b are two unit vectors in R^3, and a·b=11/24. Find the norm of the vector 4a+…

A:

Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

A:

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b for which the below vectors are orthogonal. −27,b,2, b,b2,b

Q: 10î - 4ĵ +7 k̂ and B =

A: Find the dot product A∙ B and its angle of the given vectors: A = 10î - 4ĵ +7 k̂ and B = -2î +ĵ +…

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

A:

Q: b. Repeat the above solution if the two vectors A and B given at a point P(r, 0, D) in space reduced…

A:

Q: 2. Find the angle between the following two vectors. and

A:

Q: Q3/the parallelogram is determined but the vectors KL = and KN =, so the area of parallelogram KLMN…

A:

Q: 2. Square ABCD is drawn as showWn below with the diagonals intersecting at E. a. State four pairs of…

A:

Q: 2. Given the figure below, find a single vector that is equivalent to C B tw b) 10 14 וד --(A-F+C) G…

A:

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: It is known that any two vectors are orthogonal if their dot product is zero. The given vectors are…

Q: 6. Show that the points A, B and C with position vectors d = 32 – 4) – 4k, b = 2î – ĵ + k and & = î…

A: To show that the points A,B and C with a given position vectors forms a right angled triangle.

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Q: 14. Given that a and bare two vectors, then the vector (a + b) × (a – b) is A. perpendicular to (a –…

A:

Q: Q3: Find the angle between two vectors in space A = 41 - 2J-k B = 4T - 2J + 4k and

A: We need to find the angle between vectors A=4i¯-2j¯-k¯  and B=4i¯-2j¯+4k¯ for this we will use the…

Q: In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List…

A:

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.