Maths Book back answers and solution for Exercise questions - Find the equation of the plane passing through the line of intersection of the planes

**EXERCISE 6.9**

**1. Find the equation of the plane passing through the line of intersection of the planes = (2Ë† i - 7Ë†j + 4Ë†k ) = 3 and 3x - 5 y + 4z +11 = 0 , and the point (-2,1, 3) .**

**2. Find the equation of the plane passing through the line of intersection of the planes x + 2 y + 3z = 2 and x - y + z +11 = 3 , and at a distance 2/âˆš3 from the point (3,1, -1).**

**3. Find the angle between the line = (2Ë† i - Ë†j + Ë†k )+t(Ë†i + 2Ë†j - Ë†k) and the plane . (6Ë†i + 3Ë†j + 2Ë†k ) = 8**

**4. Find the angle between the planes = (Ë† i + Ë†j - 2Ë†k ) = 3 and 2x - 2 y + z = 2 .**

**5. Find the equation of the plane which passes through the point (3, 4, -1) and is parallel to the plane 2 x - 3y + 5z + 7 = 0 . Also, find the distance between the two planes.**

**6. Find the length of the perpendicular from the point (1, -2, 3) to the plane x - y + z = 5 .**

**7. Find the point of intersection of the line x -1 = y/2 = z +1 with the plane 2x - y + 2z = 2 . Also, find the angle between the line and the plane.**

**8. Find the coordinates of the foot of the perpendicular and length of the perpendicular from the point ( 4,3,2) to the plane x + 2 y + 3z = 2 .**

**Answers:**

Tags : Problem Questions with Answer, Solution , 12th Mathematics : UNIT 6 : Applications of Vector Algebra

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12th Mathematics : UNIT 6 : Applications of Vector Algebra : Exercise 6.9: Equation of intersection of the planes | Problem Questions with Answer, Solution

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