c) What is the cosine of the angle between the planes x + 2y – z + 1 = 0, and -x+ 3z + 1= 0? d) Find a unit vector in R' in the opposite direction to v = [1, 2, -2].

Q: (a) What equation describes every vector w = (w1, w2) that is perpendicular to v = (-1,-2)? ալ + աշ…

A: This is the complete solution.

Q: 2. a (-9,6) and b =(3, 1). What is the component form of the resultant vector tor/a - 26 ?

A:

Q: 10. A Plane is flying at 45 degrees north of the x axis at 400 mph. Sketch the situation and find…

A: Drawing the given data , Plane is at "A" From the diagram the x-component is OB…

Q: 1. Let A=3a_y+5a_z, B=a_x-2a_y+4a_z, C=a_x+a_y-a_z. a-Find A.B, b-Find AxC and IAXC| c-Find C.AxB…

A: Let .To Find:Describe the surface defined by the following equations:a) b)

Q: li) Find the angle between the vectors p i--k and q 21 +j+2k. Iv) Find the unit vector perpendicular…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let u = (6, 2, 4) and v = (1, 2,0). Find: (a) d(u, v). (b) the angle 0, in radians, between the two…

A: See the detailed solution below.

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

Q: A plane in R'is perpendicular to the vector (4, 2, – 9), and contains the point (- 9, 5, - 8). Find…

A: A plane in ℝ3 is perpendicular to the vector 4, 2, -9 and contains point -9, 5, -8To find the…

Q: 2. Express the following vectors in rectangular coordinates: a- A rho sin(phi)a_rho+rho…

A: Base vectors for cylindrical co-ordinates are:Base vectors for spherical co-ordinates are: