9. Find two vectors that are orthogonal to the plane containing the points P = (4,-2,1) and R (3,0,1), Q (5,3,1). %3D 10. Which of the vectors U =< 1,2, –4 >, V =< -5,3, -7 > and W =< 3, -6, –12 > are in the same plane?

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

A:

Q: Which of the following vectors is parallel to the line 7x+ 14y = 20? %3D (-6,3) (8,-16) (2,4) 0.…

A: We first find the slope of the line using y=mx+b form

Q: Find a unit vector perpen dicular to the plane of the vectors a = (2, -3,1) and b = (1, 2, -4)

A:

Q: Q5) the value of the constant a for which the line x=2+t,y=2+3t,z=3+t and the plane ax+y-2z-7=0 are…

A: We will use definition.

Q: 7. Show that the vectors A=4a, -2a + 2a, and B = -6ā, +3ā, -3ā. e parallel to each are other.

A:

Q: Find the B-coordinate vector fe

A: First multiply some constant with given coordinator polynomial and equal the vector p(t) and find…

Q: Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n = 9i + 2j…

A:

Q: 4. (a) Determine if the four points P¿(1,1, –2), P2(4, 0, –3), P3(1,–5,10), and P,(-7,2, 4) lie on…

A:

Q: Find the equation of the plane that passes through the point (−2, 8, 4) and contains vectors ⃗a…

A: The equation of plane passing through the point x0, y0, z0 and contins vector a→ amd b→ is n1(x -…

Q: Q5. Express the vector w = (1,0, −7) as a linear combination of the vectors v1=(5, 3, 4) and v2=(3,…

A:

Q: 2. Find the equation of the plane that is parallel to the vectors and contains the points (-2, 3,…

A:

Q: Let u+ v = (3, –2) and u – v = (-4, –3). (a) Find u and v. (b) Draw the vectors u, v, – u, - v, u+v,…

A:

Q: 30. Find an equation of the plane that contains the points (-2, 1, 4) and (0, 3, 1) and contains a…

A: