Related InterviewSolutions

• The direction cosines of the normal to the plane 5y + 4 = 0 are A. 0,\(\frac{-4}5\),0B. 0, 1, 0 C. 0, -1, 0 D. None of these
• Find the equation of the plane with intercept 3 on the y - axis and parallel to ZOX plane.
• Find the vector equation of the line passing through the point with position vector (\(\hat{i}\) - 2\(\hat{j}\) + 5\(\hat{k}\)) and perpendicular to the plane \(\bar{r}\). (2\(\hat{i}\) - 3\(\hat{j}\) - \(\hat{k}\)) = 0.
• Find the equation of plane parallel to 2x – 3y + z = 0 and passing through the point (1, – 1, 2)?
• Find the equation of the plane passing through the points A(1, 1, 2) and B(2, -2, 2) and perpendicular to the plane 6x – 2y + 2z = 9.
• Determine the value of λ for which the following planes are perpendicular to each other 2x – 4y + 3z = 5 and x + 2y + λz = 5
• Write the equation of the plane passing through the origin and parallel to the plane 5x - 3y + 7z + 11 = 0.
• Find the vector equation of the plane passing through the point (a, b, b) and parallel to the plane \(\bar{r}\).(\(\hat{i}\) + \(\hat{j}\) + \(\hat{k}\)) = 2.There is a error in question …… the point should be (a,b,c) instead of (a,b,b) to get the required answer.
• Find the vector equation of the plane passing through the point (1, 1, 1) and parallel to the plane \(\bar{r}\).(2\(\hat{i}\) - \(\hat{j}\) + 2\(\hat{k}\)) = 5
• Find the equations of the plane passing through the origin and parallel to the plane 2x – 3y + 7z + 13 = 0.