Find a vector a with representation given by the directed line segment AB. Draw AB and the equivalent representation starting at the origin. (a) A(1,3), B(4,4) (b) A(1,-2,0), B(1, -2,3) (c) A(4, 0, -2), B(4, 2, 1) Find the sum of the given vectors and illustrate geometrically. (a) <2,3>, <3, -4> (b) < 1,0, 1>, <0,0,1> (c) <0,3,2 >, < 1,0, -3>

Q: Determine the dot products of the following pairs of vectors. (a) (3, 5), (3, -4) (b) (2, -5, 3),…

A: Solution :-

Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

A:

Q: Which of the follow is the direction vector of the line 7=(2, 1, 3) + t(-7, 1, 6) (7, 1, 6) O(-7, 1,…

A:

Q: A rocket ship in space is not moving. The ship's crew performs a rocket burn which can be described…

A: The objective of the question is to understand the concept of vector addition and subtraction in the…

Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3),…

A: We can solve the given problem as follows:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A:

Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: Which of the following vectors is/not perpendicular to the line whose direction vector is (2,-3,5)?…

A:

Q: 3. (7-9) A vector has an initial point at (1, –1) and an endpoint at (8, 6). Write the vector in…

A: The given start and endpoints of vector are (1,-1) and (8,6) We know that the magnitude of a vector…

Q: Find area of the triangle with edges (-1,2,4),(1,-2,3),(-2,3,-1)

A:

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: S = {(2, –1, 3), (5, 0, 4)} (a) z = (11, -8, 20) z = (6) v=(15, -) (b) 4 v = (c) w = (4, -7, 13) ]…

A:

Q: A parallelogram is formed by the vectors a = (1, 0, -1) and b = (2, 1, 1). What is the area of the…

A:

Q: ● Let A = (1.-2,4), B (0,3,2), C (-1,4,-2) be three points in R. Find the vectors u-AB and v-AC.

A: Let A=(1, -2,4), B=(0,3,2), C=(-1,4,-2) be three points in R3. We have to find the vectors u and v.