समतल 2x-3y+6z+14=0 के अबिलम्ब की दिक् कोज्जाएँ ज्ञात कीजिये

यदि (x/3+1,y-2/3) = (5/3,1/3) हो, तो x और y का माना ज्ञात , कीजिये।

यदि कोई वस्तु समतल दर्पण से 5cm दूर है तो वस्तु एवं प्रतिबम्ब के मध्य दूरी ज्ञात कीजिये

एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण बनाती है |

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.

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

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

The distasnce of the plane 2x-3y+6z+14=0 from the origin is (A) 2 (B) 4 (C) 7 (D) 11

The distasnce of the plane 2x-3y+6z+14=0 from the origin is (A) 2 (B) 4 (C) 7 (D) 11