Maths Book back answers and solution for Exercise questions - Mathematics : Application of Vectors to 3-Dimensional Geometry: Questions with Answer

**EXERCISE 6.4**

**1. Find the non-parametric form of vector equation and Cartesian equations of the straight line passing through the point with position vector 4 iË† + 3 Ë†j - 7kË† and parallel to the vector 2iË† - 6 Ë†j + 7kË† .**

**2. Find the parametric form of vector equation and Cartesian equations of the straight line passing through the point (-2, 3, 4) and parallel to the straight line **

**3. Find the points where the straight line passes through (6, 7, 4) and (8, 4, 9) cuts the xz and yz planes.**

**4. Find the direction cosines of the straight line passing through the points (5, 6, 7) and (7, 9,13) . Also, find the parametric form of vector equation and Cartesian equations of the straight line passing through two given points.**

**5. Find the acute angle between the following lines.**

**(iii) 2 x = 3y = -z and 6x = - y = -4z**

**6. The vertices of Î” ABC are A(7, 2,1), B(6, 0, 3) , and C(4, 2, 4) . Find âˆ ABC**

**7. If the straight line joining the points (2,1, 4) and ( a -1, 4, -1) is parallel to the line joining the points (0, 2, b -1) and (5, 3, -2) , find the values of a and b .**

**8. If the straight lines are perpendicular to each other, find the value of m .**

**9. Show that the points (2, 3, 4),(-1, 4, 5) and (8,1, 2) are collinear.**

**Answers:**

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12th Mathematics : UNIT 6 : Applications of Vector Algebra : Exercise 6.4: Application of Vectors to 3-Dimensional Geometry | Problem Questions with Answer, Solution

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