Do the three planes x 1 plus 4 x 2 plus 3 x 3 equals 5x1+4x2+3x3=5, x 2 minus 3 x 3 equals 1x2−3x3=1, and 3 x 1 plus 15 x 2 equals 123x1+15x2=12 have at least one common point of intersection? explain.

nswer:

No, they do not have any common point of intersection.



Step-by-step explanation:

Do the three planes have a common point of intersection?

X1 + 4X2 + 3X3 = 5

X2 - 3X3 = 1

3X1 + 15X2 = 15

Using matrix method

First, convert the given equation to matrix equivalent

Subtract Row1 from Row 3

Row3 = Row3 - Row1

Inconsistent planes.

Planes from row 2 and row 3 do not intersect and they do no have anything in common.

Hence, we do not need to move further

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )

the answer is d

step-by-step explanation: