2. (a) Draw the coordinate axes(grids) relative to u = 1 (b) use these grids to write w = and v = and -2 as a liner combination of u and v.

Q: Explain how the direction vectors of two lines in ℝ3 can be used to determine whether the two lines…

A:

Q: An airplane takes of heading east at a speed of 459 miles per hour at an angle of 15 degrees with…

A: Given that: speed of the plane= speed of 459 miles per hour The horizontal component is parallel…

Q: On the grid below, draw the following vectors: a = −2i+3j b = −4i + 2j c = 5j

A: To draw vectors

Q: Trinity was given the points S(-9, 14), T(1, 10), U(-3,0), V(-13,4). She determined that the sides…

A: Quadrilateral

Q: 2. Let G and H be the points G (4, 5) and H(11, -8). 2a Find the vector HG in component form: HG 4…

A:

Q: 39. Given a = (3, -4) and b = (1, 2). Find the vector 2 a. (3,4) a. b. 2,4) c. (6,-8) d. (5,-2)

A: From the given statement,

Q: a. Write the vector (23,-12, -19) as a linear combination of a₁ = (3, -2, -1), a2 (2, -3, -1) and ã3…

A:

Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

A:

Q: Find direction numbers for the line of intersection of the planes x + y + z = 2 and x + z = 0.…

A: Given planes: x+y+z=2 and x+z=0.

Q: Find the cross product of the vectors a=⟨2,3,−2⟩ and b=⟨−3,−6,−4⟩. Select one: a. ⟨0,2,−3⟩ b.…

A: a*b = <-24,14,-3> option 'e' is correct

Q: Choose only four questions from the following: Q1- Suppose that you have the following points for a…

A:

Q: Three points (9,-2, 4), (5,-5,3), and (7,1,-3) can be the vertices of a triangle. If you can make…

A: Vectors

Q: State the formula relates the dot product of vectors and to their lengths and the angle betwee.…

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: 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: Draw position vector OP = (-2,-4,3) on the axis below.

A:

Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

A:

Q: You are given the following three vectors a = (9 -3 -1) T b = (2 0 2) T c = (-4 0 8) T Find the…

A:

Q: v= (-8,-6) and w=(-12,5) Find the following given: 3v – 2w = а. +w = с. Find the unit vector having…

A: This question is related to vectors, We will solve it using given information.

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: A pilot sets his airspeed to 500 km/h on a heading of North 65 degrees East . A strong wind is…

A:

Q: Write a vector equation (CHEHEHEI y+ that is equivalent to the system of equations: -5 x + 6x + 2x +…

A:

Q: 3. Given two points P(4,0,2) and Q(2,-1,3), find the equations of the vector PQ, the line passing…

A:

Q: 9. Plot these three coordinate points on the given Cartesian Plane: (2,3) (-2,1) (4,-1) Join the…

A:

Q: 8. Which coordinate grid shows a point 3 represented by (;, -3)? (6.18, 6.1E, 6.1F)

A: The given coordinate is ( -3/2 , -3) x coordinate is  -3/2  y coordinate is  -3 It means that the…