13 Answered Questions for the topic Plane

07/06/18

find the speed ofeach plane

 A turbo-jet flies 50mph faster than a super-prop plane. If a turbo-jet goes 2000mi in 3 hr less time than it takes the super-prop to go 2800 mi, find the speed of each plane

04/15/18

Help me Find an equation of a plane

With respect to the origin O, the lines l and m have vector equations r = 2i + k + λ(i − j + 2k) and r = 2j + 6k + µ(i + 2j − 2k) respectively. Find the equation of the plane which is parallel to l... more

12/06/16

use cylindrical coordinates to evaluate the triple integral that gives the mass the solid

use cylindrical coordinates to evaluate the triple integral that gives the mass the solid lying under the cone z=10-√(x2+y2), and above the xy-plane, if the density p is given by p(x,y,z)=x2+y2+z2.... more

06/10/16

How many possible distinct regions of the plane may be separated by any 3 such lines?

3 distinct lines contained within a plane separate the plane into distinct regions. How many possible distinct regions of the plane may be separated by any 3 such lines?

06/02/16

speed of a plane again

Against the wind a commercial airline in South America flew 510miles in 3hours. With a tailwind the return trip took 2.5hours. What was the speed of the plane in still? air? What was the speed of... more

02/16/16

Find the line orthogonal to plane

Find the line orthogonal to plane spanned by vector v= i-5j and vector 3k passing through (2,3,1)

01/29/16

If a jet travels 100mph faster than a propeller plane and the jet plane travels 6300 miles in 4 hours how fast are both planes traveling

If a jet plane is traveling 100mph faster than a propeller plane and then jet plane travels 6300 miles in 4 hours then how fast is each plane traveling

11/15/14

For what value of h is y in the plane spanned by v1 and v2?

Let v1= [1,2,-1], v2=[-2,-1,1], and y=[4,-1,h].  For what value of h is y in the plane spanned by v1 and v2?

11/12/14

For what value of h is y in the plane?

let v1=[1,2,-1]  v2=[-2,-1,1] and y=[4,-1,h]   For what value of h is y in the plane spanned by v1 and v2? h=?

10/27/14

Find an equation of the plane

Find an equation of the plane through the point (-3, -1, -2) and parallel to the plane 3x + 2y - 5z = -4. Do this problem in the standard way

10/27/14

Find the point P

Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -3.

10/27/14

Find an equation of the plane

Find an equation of the plane through the point (-5, -1, 1) and perpendicular to the vector (-1, 1, 5). Do this problem in the standard way

10/26/14

Find an equation of the plane

Find an equation of the plane through the point (-3, -1, -2) and parallel to the plane 3x + 2y - 5z = -4. Do this problem in the standard way

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