Exercise 28B Archives - Noon Academy

Find the vector and Cartesian equations of a plane which is at a distance of 7 units from the origin and whose normal vector from the origin is $(3\widehat i + 5\widehat j - 6\widehat k)$

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

Answer: Given, $\begin{array}{l} d = 7\\ \overline n = 3\widehat i + 5\widehat j - 6\widehat k \end{array}$ The unit vector normal to the plane: ...

Find the vector and Cartesian equations of a plane which passes through the point (1, 4, 6) and normal vector to the plane is is $(\widehat i - 2\widehat j + \widehat k)$

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

Answer: Given, A = (1, 4, 6)

Find the vector and Cartesian equations of a plane which is at a distance of 6 units from the origin and which has a normal with direction ratios 2, -1, -2.

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

Answer: Given, d = 6

Find the vector and Cartesian equations of a plane which is at a distance of 6/√29 from the origin and whose normal vector from the origin is is $(2\widehat i - 3\widehat j + 4\widehat k)$

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

Answer: Given, = (x × 2) + (y × (-3)) + (z × 4) = 2x - 3y + 4z The Cartesian equation...

Find the vector equation of a plane which is at a distance of 5 units from the origin and which has as the unit vector normal to it.

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

Answer: Given, $\begin{array}{l} d = 5\\ \widehat n = \widehat k \end{array}$ The equation of plane at 5 units distance from the origin $\begin{array}{l} \widehat n \end{array}$ and as a unit...

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) ...

Find the vector and Cartesian equations of a plane which is at a distance of 7 units from the origin and whose normal vector from the origin is $(3\widehat i + 5\widehat j - 6\widehat k)$

Find the vector and Cartesian equations of a plane which passes through the point (1, 4, 6) and normal vector to the plane is is $(\widehat i - 2\widehat j + \widehat k)$

Find the vector and Cartesian equations of a plane which is at a distance of 6 units from the origin and which has a normal with direction ratios 2, -1, -2.

Find the vector and Cartesian equations of a plane which is at a distance of 6/√29 from the origin and whose normal vector from the origin is is $(2\widehat i - 3\widehat j + 4\widehat k)$

Find the vector equation of a plane which is at a distance of 5 units from the origin and which has as the unit vector normal to it.

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)

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