दो समांतर समतलो x+y2y+3z+7=0 और 2x+4y+6z+7=0 के बीच की दुरी ज्ञात कीजिये

2x + 3y-5z = 7, x + y + z = 6,3x-4y + 2z = 1, then x =

Find the angle between the planes : (i) 3 x - 6y - 2z = 7 " " 2x + y - 2z = 5 (ii) 4 x + 8y + z = 8 " " and y + z = 4 (iii) 2 x - y + z =6 " " and x + y + 2z = 7 .

Solve x+2y+3z=0 3x+4y+4z=0 7x+10y+12z=0

3x+4y+7z=4, 2x+y+ 3z= 3, x + 2y +3z =8.

In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them : (a) 7x + 5y + 6z + 30 = 0 and 3x - y - 10 z + 4 = 0 (b) 2x + y + 3z -2 = 0 and x - 2y + 5 = 0 (c) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z - 1 = 0 (d) 2x - y + 4z + 5 = 0 and 2x - y + 3z + 3 = 0 (e) 4 x + 8y + z = 0 and y + z - 4 = 0

In the following determine whether the given planes are parallel or perpendicular and in case they are neither, find the angles between them : (i) 7x + 5y + 6z + 30 = 0 and 3x - y - 10z + 4 = 0 (ii) 2x + y + 3z - 2 = 0 and x - 2y + 5 = 0 (iii) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z - 1 = 0 (iv) 2x - y + 3z - 1 = 0 and 2x - y + 3z + 3 = 0 (v) 4x + 8y + z - 8 = 0 and y + z - 4 = 0.

Solve the system: x + y - 2z = 0, 2x - 3y + z = 0, 3x - 7y + 10z = 0, 6x - 9y + 10z = 0.

Add 2x - 3y + z , 5y - x + 7z and 3x - y - 6z.

What is the proportion equivalent to x/y :y/z:x/z , if X : Y :Z = 4 : 7 : 9? x/y :y/z:x/z के समतुल्य समानुपात ज्ञात करें , यदि X : Y : Z = 4 : 7 : 9 है |