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Chapter: 12th Mathematics : UNIT 6 : Applications of Vector Algebra

Exercise 6.8: Equation of a plane

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EXERCISE 6.8

1. Show that the straight lines = (5ˆi + 7ˆ j - 3ˆk ) + s(4ˆi + 4 ˆj - 5ˆk ) and = (8ˆi + 4ˆ j + 5ˆk )+ t (7ˆi + ˆj + 3ˆk ) are coplanar. Find the vector equation of the plane in which they lie.

2. Show that the lines are coplanar. Also, find the plane containing these lines.

3. If the straight lines are coplanar, find the distinct real values of m.

4. If the straight lines are coplanar, find λ and equations of the planes containing these two lines.

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12th Mathematics : UNIT 6 : Applications of Vector Algebra : Exercise 6.8: Equation of a plane | Problem Questions with Answer, Solution

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