where Consider the orthogonal basis B = {v1, v2, V3} for R³, V3 V2 V1 he fact that B is orthogonal to obtain a formula for the coordinate vector X1 for any X1, X2, X3 E R. [x]B X2 X3

Q: The current of a river is given by the vector (7,5). The direction of the vector is

A: We have to find the direction

Q: Find the unit vector that has the same direction as the vector v = -i + 2j.

A:

Q: Order the following vectors by increasing magnitude. (3,4) (0,-6) (-2,4)

A: Given vector is (3,4) , (0,-6) and (-2, 4). We have to order the vectors by increasing the…

Q: Find the magnitude of the vector

A: The given vector is 0,7We know that in a vector a,b the magnitude is a2+b2

Q: Find the vector v = PQ. P = (4,3, 6) Q = (9,5, 3) V =

A:

Q: 1 - x 1 2 - y = z +1 and l2 : х — Consider the lines l1 : = y – 2 = 3 || 2.

A:

Q: Show that direction vectors of the lines 3 L: and

A: We have to find the direction vectors for the lines L1: x-32=y+14=z-2-1 and L2: x-35=y+1-2=z-32.

Q: Find the unit vector that has the same direction as the vector v = 4i - 2j.

A: the given vector is v=4i-2j

Q: Find the vector v with the magnitude.15/2 and direction of u = For the toolbar, press ALT+F10 (PC)…

A:

Q: Find the component form of the indicated vector. Let u = ,v=. Find -6u + 7v.

A:

Q: Find the magnitude of the vector.

A: The given question is taken from the vector in which we have to find the magnitude of the given…

Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: Determine the x, y, and z components of the unit vector in the same direction as [5,-2,-6].…

A: NOTE: Refresh your page if you can't see any equations. . the given vector is  find the magnitude…

Q: Given points A(4,5) and B(6,1), write the component form of the vector from A to B.

A: We have to find out the vector

Q: Find the vector have the same direction as vector a-1-2j+2k and has a magnitude 9. Select one:…

A:

Q: Find the position vector (i.e. the direction vector) from the point P(−4,−6,3) to the point…

A: To find the position vector (i.e. the direction vector) from the point  P-4, -6, 3 to the point Q4,…

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

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.