निम्नलिखित प्रशनो में ज्ञात कीजिये कि क्या दिए गए समतलों के युग्म समांतर है अथवा लंबवत है, और उस स्थिति में, जब ये न तो समांतर है और न ही लंबवत तो उनके बीच का कोण ज्ञात कीजिये।
(a) `7x+5y+6z+30=0` और `3x-y-10z+4=0`
(b) `2x+y+3z-2=0` और `x-2y+5=0`
(c ) `2x-2y+4z+5=0` और `3x-3y+6z-1=0`
( d) `2x-y+3z-1=0` और `2x-y+3z+3=0`
( e) `4x+8y+z-8=0` और `y+z-4=0`

In the follwing 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-10z+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+3z-1=0 and 2x-y+3z+3=0 e. 4x+8y+z-8=0 and y+z-4=0

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+5z=0 (c) 2x-2y+4z+5=0 and 3x-3y+6z-1=0 (d) 2x-y+3z-1=0and 2x-y+3z+3=0 (e) 4x+8y+z-3=0and y+z-4=0

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-10z+4=0 (c) (b) 2x+y+3z-2=0 and x-2y+6z=0 (c) 2x-2y+4z+5=0 and 3x-3y+6z-1=0 (d) -y+3z-1=0 and 2x-y+3z+3=0 (e) 4x+8y+z-3=0 and y+z-4=0

Find the angle between the plane: 7x+5y+6z+30=0 and 3x-y-10z+4=0

Find the angle between the plane: 7x+5y+6z+30=0 and 3x-y-10z+4=0

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-10z + 4 = 0 (b) 2x + y + 32 - 2 = 0 and x - 2y + 5 = 0 (c) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z-1 = 0 (d) 2x – y + 3z-1 = 0 and 2x - y + 3z + 3 = 0 (e) 4x + 8y + z - 8 = 0 and y + z - 4 = 0

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

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