can u guys do all of them plz 1. Find the on distance from (5,3,6) to the plane.

Question

can u guys do all of them plz

1. Find the on distance from (5,3,6) to the plane. 2. Identify the surface whose equation is rzt -2x +17 o va 3. Let u 1,3 and 5,9 5. Show 2,3,2 v a Find z that satisfies 2u +2e Aur. (3,2, that 3,2,1 and w 3,4,1 find u u x u. -1) the triangle ABC 18 a right triangle, where A- (2,-1, 1), and (7,0, B- 6. Write vector 2,1,6 vector orthogonal as the sum of a vector parallel to b and a to b where b 0,1,2 7. Find the volume of the 4,5,1 and 1,2,4 that has vectors 3,1,2 as adjacent edge 8. Find the parametric equations to the line passing through (1,3,6) and parallel to 2,4,8 9. Answer true or false. The planes z +3y+2z- 6 and -4r-12 -8z w are parallel. 10. Identify the trace of the surface -2y2+3za m 1 where v 1. 11. Find the equation of the plane that passes through 1,3) and (5,2,4). (0,0,0),(2,1 12. Convert (4,8,8) from rectangular coordinates to spherical coordinates. 13. Convert the equation VT t yi zz 25 from rectangular coordinates to spherical coordinates. 14. Find the domain of r(t) Vt-6, t-5 15. Find the arc length of the curve that is defined by r(t) m sin(t)i 6j cos(t) for 0 s t s T. 16. Determine if r(t) (t2+ 4) i 2t j (3t 7)k is continuous at t 0.

Explanation / Answer

1.

distance = 6

2.

sphere with centre = (1,2,-4), radius = 2

4.

ans :8

5.

AB.BC = (1,3,-2).(4,-2,-1) = 4-6+2 = 0

=>

AB is perpendicular to BC

thus proved

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