As an example, visualize the geometry of the situation in R². For visualization, [0.5] we select x = Draw: axes, the vector x, draw the vector compute and draw the vector y.

Q: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: Definition used -                       If we have to write a vector as a linear combination of…

Q: Find a unit vector in the same direction as v= (28,-21).

A: A unit vector in the direction of (a, b)

Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)…

A: The given vector is -6,-4. Now, draw the given vector by an arrow from the origin to the given…

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

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: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

A:

Q: Evaluate: if vector OA = (2,3) and OB (-1,-2) Show all steps please

A: if a vector is of the form  a→=a1,a2  then a→=a12+a22 see  below the answer

Q: Find a direction vector for the line containing the origin (0, 0, 0) and the point (2, 3, – 1).

A: The given points are 0,0,0  and  2,3,-1

Q: Explain how to write a vector in terms of its magnitude and direction.

A: A vector is a geometric representation of magnitude and direction with respect to the set of…

Q: Suppose that v₁ = (4, 4, 0, 7), v₂ = (2, -5, 5, 4) and v3 = (-7, 0, 5, 2). Is the following vector…

A:

Q: 3. Find an equation of the plane passing through the points (1, 2, -6), (2, 3, -2), and (-1, 4, 8).…

A:

Q: For any vector v in ℝ3, explain why v × v = 0.

A: Given v∈R3 v×v=0

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: Your answer is correct. Suppose that vi - (2.4, 0, 7), v2 - (6,-3. 8. 3) and va - (-4,0,4, 5). Is…

A: The solution is given as

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.