Q1/A/ Let u=5i –j+k, v=j-5k, w =-15i+3j-3k. Which vectors, if any, are a) Perpendicular? b) Parallel? Give reasons for your answers and verify your solution by sketch the graph.

Q: Explain how the direction vectors of two lines in ℝ3 can be used to determine whether the two lines…

A:

Q: Convert into rectangular coordinates. (2,-) 3

A:

Q: Consider the triangle with vertices A(2,3,5), B(-1, 4,4) and C(-2, -1,6). Use vector multiplication…

A:

Q: In the figure, the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms…

A: We have  the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms of a…

Q: 6. Use the vectors to find the indicated quantity. a. Find 3u-v, u=(5, 7>, and v = (-5, 2> %3D b.…

A: Given that,  u = <5, 7> and v = <-5, 2> If x = <a, b> and y =<c, d>are two…

Q: Describe the graph of the equation: r = 4ti – 8j + (1 + 2t)k. [Choose the correct answer.] The…

A: It is three dimensional, so each points must have three components (x,y,z).

Q: 2. Let G and H be the points G (4, 5) and H(11, -8). 2a Find the vector HG in component form: HG 4…

A:

Q: Describe the graph of the equation: r = 4ri – 8j + (1 + 2t)k. [Choose the correct answer.]

A:

Q: 5. Add vectors 2i– 2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

A:

Q: s of a and b for which the following vectors a + b, 24), v = (-10, 15, a - b) D, b = 2 9, b = 2

A:

Q: The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

A:

Q: How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]?…

A:

Q: 1. Given the points P=(3,-1,-2) and Q=(2, 4, 0) answer or do the following: a) Find i = PQ :_ b)…

A: We can write the points P and Q as P→=3i-j-2k and Q→=2i+4j-0k. We have to find the vector v where…

Q: 1. Draw the vector V that goes from the origin to the point (-4, -6). (a) Find V (b) Write V in…

A:

Q: Find the acute angle formed by two diagonals of a cube. (vectors) show complete solution.

A: It has been assumed that the length of each side of the cube is a unit.

Q: 2. Add vectors 2i-2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

A: Given that two vector A = 2i - 2j and vector B = i + 5j

Q: Explain the answer:Find the component form of the vector 2) Given: P = (0, -4) Q =(-1,9) Find: 8PQ…

A:

Q: 3. Explain why as n goes to infinity. the entries of the vector A" 2 go to infinity, while the…

A: To solve question 3 I will take the help of eigenvalue and eigenvector of a matrix because question…