Short Answer TypeThe scalar product of the vector 
with a unit vector along the sum of vectors 
is equal to one. Find the value of 
and hence find the unit vector along 
Evaluate:
We need to evaluate the integral
Comparing the coefficients, we have
2A = 1; 5A+B = 2
Solving the above equations, we have
Now consider I2:
An experiment succeeds thrice as often as it fails. Find the probability that in the next five trials, there will be at least 3 successes.
Find the value of p, so that the lines:
are perpendicular to each other. Also find the equations of a line passing through a point (3, 2, -4) and parallel to line l1.
Long Answer TypeFind the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x- y + z = 0. Also find the distance of the plane obtained above, from the origin.
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