If O is the origin and the coordinates of P are (2, 3, −4), then find the equation of the plane passing through P and perpendicular to OP.
The coordinates of the points, O and P, are (0, 0, 0) and (2, 3, −4) respectively. Therefore, the direction ratios of OP are (2 − 0) = 2, (3 − 0) = 3, and (−4 − 0) = −4 It is known that the equation of the plane passing through the point (x1, y1 z1) is a(x – x1) + b(y – y1) + c(z – z1) = 0 where, a, b, and c are the direction ratios of normal. Here, the direction ratios of normal are 2, 3, and −4 and the point P is (2, 3, −4). Thus, the equation of the required plane is 2(x – 2) + 3(y – 3) – 4(z + 4) = 0 => 2x + 3y – 4z – 29 = 0
The Ug-99 disease is associated with
A true fruit is developed:
What are the building blocks of proteins?
India receives most of its rainfall from ................ monsoon?
The law of minimum was given by which of the following scientist?
What is the name of the microbial spray, consisting of blend of seven fungi, developed by ICAR-IARI, New Delhi for the in-
situ accelerated deg...
Which of the following statements is/are true?
Statement A: Sand and silt materials transported by wind are called as loess and aeolian
<...Which of the following soil horizon is also known as the 'Zone of illuviation'?
Which crop involves the practice of nipping, which entails the removal of the apical bud of young plants, typically done when the plants are 2 to 4 week...
The concept of venture capital was originated in: