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Bag 1 contains 4 white and 6 black balls while another Bag 2 contains 4 white and 3 black balls. One ball is drawn at random from one of the bags and it is found to be black. Find the probability that it was drawn from Bag 1.
Previous probabilities in Bayes Theorem that are changed with the new available information are called _____
Bag 1 contains 3 red and 5 black balls while another Bag 2 contains 4 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it is drawn from bag 2.
_____ is the complement of the angle between the line L and a normal line to the plane π.
Find the angle between the planes x + 2y + 3z + 1 = 0 and (4, 1, 7).
What is the plane equation involved in the formula sinθ =?
What is the relation between the plane ax + by + cz + d = 0 and a_{1}, b_{1}, c_{1} the direction ratios of a line, if the plane and line are parallel to each other?
The condition a_{1}a + b_{1}b + c_{1}c = 0 is for a plane and a line are _____ to each other.
Find the angle between 2x + 3y – 2z + 4 = 0 and (2, 1, 1).
The plane 5x + y + kz + 1 = 0 and directional ratios of a line (3, 1, 1) are parallel, find k.
Find k for the given plane x + 2y + kz + 2 = 0 and directional ratios of a line (8, 3, 2), if they are parallel to each other.
If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then
cos θ =
Which trigonometric function is used to find the angle between a line and a plane?
A plane and a line having an angle of 90 degrees between them are called _____
The condition a/a1 = b/b1 = c/c1 is for a plane and a line are _____ to each other.
Find the angle between x + 2y + 7z + 2 = 0 and (2, 4, 6).
Find the angle between the planes 5x + 2y + 3z + 1 = 0 and (1, 1, 2).
_____ is the angle between the normals to two planes.
What is the formula to find the angle between the planes a_{1}x + b_{1}y + c_{1}z + d_{1} = 0 and a_{2}x + b_{2}y + c_{2}z + d_{2} = 0?
Find s for the given planes 2x + 2y + sz + 2 = 0 and 3x + y + z – 2 = 0, if they are perpendicular to each other.
What is the relation between the planes a_{1}x + b_{1}y + c_{1}z + d_{1} = 0 and a_{2}x + b_{2}y + c2_{1}z + d_{2} = 0, if their normal are perpendicular to each other?
The planes 5x + y + 3z + 1 = 0 and x + y – kz + 6 = 0 are orthogonal, find k.
Find k for the given planes x + 2y + kz + 2 = 0 and 3x + 4y – z + 2 = 0, if they are perpendicular to each other.
Which of the following is not the correct formula for representing a plane?
Find the vector equation of the plane which is at a distance of 7/√38 from the origin and the normal vector from origin is ?
Find the distance of the plane 3x + 4y  5z  7=0.
Find the equation of the plane passing through the three points (2,2,0), (1,2,1), (1,2,2).
Find the Cartesian equation of the plane passing through the point (3,2,3) and the normal to the plane is ?
Find the Cartesian equation of the plane passing through the point (3,2,3) and the normal to the plane is
Find the magnitude of a⃗ and b⃗ which are having the same magnitude and such that the angle between them is 60° and their scalar product is 1/4.
λ times the magnitude of vector is denoted as ______
8 docs148 tests

8 docs148 tests
