1. Determine whether the points A(3,4,-1) and B(1,-1,0) lie on the line with vector equation =i+1+*+r(2 +3-24).

Q: Suppose that P = is a position vector. What is the equation of the horizontal plane that passes…

A:

Q: 5. Determine a vector equation of the line that passes through the origin and is parallel to the…

A: Determine a vector equation of the line that passes through the origin and is parallel to the line…

Q: Suppose vector a= (4, -6, 10) and vector B= (-6, 9, -15). What is a x b?

A: topic - vectors

Q: Describe all solutions of Ax = 0 in a vector form, where -4 -2 0 3 2 0 0 0 1 1 A = -1 -4

A: Here given matrix is

Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: 4. (a) Determine if the four points P¿(1,1, –2), P2(4, 0, –3), P3(1,–5,10), and P,(-7,2, 4) lie on…

A:

Q: Write a vector equation for the line segment from (-3, 0, 0) to (0, 4, 3).

A: To write a vector equation for the line segment from -3, 0, 0 to 0, 4, 3. To write a vector equation…

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

A:

Q: a = 2 ,8 ,2 ,−2 ,−4 ,−3 ,−11, −4 ,9 ,7 and b = 8,−1 . SOLVE Ax =b for x , and write x in…

A:

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

A:

Q: Find the equation of the line that passes through the point (3,4,5) and is parallel to the vector…

A: The equation of a line that passes through the point: x0, y0, z0 is L=x0, y0, z0+ta, b, c, where a,…

Q: Solve for the vector x in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad…

A: Let's solve vector x in terms of a and b.

Q: Solve for the vector x in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad…

A: Vector is defined as a phenomenon or quantity that has the property of both magnitude and direction.…

Q: 17) Let a = [3, -4] and b = [−6, k]. a) Determine the value(s) of k such that a + b = a + 6. What is…

A:

Q: A line contains the points P=(−6,−2,−3)P=(-6,-2,-3) and Q=(−4,−3,−6)Q=(-4,-3,-6). A vector equation…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.