4.4. Suppose that u = (1,3) and v = (3, 1). %3D (a) Sketch the points ļu + žv, ļu + ļv, and u + tv. (b) Draw the line of all linear combinations cu + dv with e + d = 1. (c) Sketch ļu+ jv and u+žv. Draw the line of all linear combinations си + св.

Q: Find the cross product a × b where a = (0, 3, 4) and b = (5,1,2). axb =

A: Step 1: Step 2: Step 3: Step 4:

Q: Which of the following is the line that passes through (7,7) and is parallel to -4x-9y=-37…

A: The slopes of parallel lines are equal. We first write the given equation of line in slope intercept…

Q: 1) Explain the four possible relationships between two lines in R. y+2 x+1 y+9 -14 z-4 2) Determine…

A:

Q: 8. A(-4, 7), B(-2, 6). C(2, -2), D(-8, 3) m(AB) m(CD) Types of Lines

A: Given that:A(-4, 7), B(-2, 6), C(2,-2) , D(-8, 3)     NOTE: As per our answering guidelines, we can…

Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

A:

Q: 4. A right triangle has vertices (-2,5), (-2,–3) and (4,-3). Find its area and perimeter. does -8 .7…

A: Given : Triangle of co-ordinates (-2,5) , (-2,-3) and (4,-3)Side length of triangle:a=8   b=6   so…

Q: The coordinates of the missing point are A. (4, 4) В. (5, 4) (-1,4) (?, ?) С. (6, 4) D. (7, 4) x+ 3…

A: topic- sketch of a figure distance between x=3 and (-1,4) is 3-(-1)=3+1=4 x-coordinates of missing…

Q: 32. (3, 5) reflected through the y-axis is a. (-3, 5) b. (3, 5) с. (3, —5) d. (-3,-5)

A: The point of reflection is the reflected point that we get in the coordinate plane when any axis act…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.