Exercise 28H Archives - Noon Academy

Exercise 28H

Find the vector equation of a plane passing through the point (1, 2, 3) and parallel to the lines whose direction ratios are 1, -1, -2 and -1, 0, 2.

CBSE, Class 12, Exercise 28H, Maths, RS Aggarwal, The Planes

Answer:

Find the vector and Cartesian equations of the plane passing through the point (3, -1, 2) and parallel to the lines $\overrightarrow r = ( - \widehat j + 3\widehat k) + \lambda (2\widehat i - 5\widehat j - \widehat k)and\overrightarrow r = (\widehat i - 3\widehat j + \widehat k) + \mu ( - 5\widehat i + 4\widehat j)$

CBSE, Class 12, Exercise 28H, Maths, RS Aggarwal, The Planes

Answer:

Find the vector and Cartesian equations of the plane passing through the origin and parallel to the vectors $(\widehat i + \widehat j - \widehat k)$ and $(3\widehat i - \widehat k)$ .

CBSE, Class 12, Exercise 28H, Maths, RS Aggarwal, The Planes

Answer:

Find the equation of the plane passing through each group of points: (i) A (2, 2, -1), B (3, 4, 2) and C (7, 0, 6) (ii) A (0, -1, -1), B (4, 5, 1) and C (3, 9, 4)

CBSE, Class 12, Exercise 28A, Exercise 28B, Exercise 28C, Exercise 28D, Exercise 28E, Exercise 28F, Exercise 28G, Exercise 28H, Maths, RS Aggarwal, The Planes

Answer: (i) Given, A (2, 2, -1) B (3, 4, 2) C (7, 0, 6) ...