Q12 of 26 Page 1

If , find

As a cross product of 2 vectors can be as-



Expanding about the first row:


⇒


∴


Similarly,



⇒


∴


Hence using the above obtained results we have-



⇒


More from this chapter

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10

Evaluate:

11

A bag A contains 4 black and 6 red balls, and bag B contains 7 black and 3 red balls. A die is thrown. If 1 or 2 appears on it, then bag A is chosen, otherwise, bag B. If two balls are drawn at random (without replacement) from the selected bag, find the probability of one of them being red and another black.

OR


An unbiased coin is tossed 4 times. Find the mean and variance of the number of heads obtained.

 13

Find the distance between the point (–1, –5, –10) and the point of intersection of the and the plane

x – y + z = 5.

 14

If sin [cot-1 (x + 1)] = cos(tan-1 x), then find x.

OR


If (tan-1 x)2 + (cot-1 x)2 = 5π2/8 , then find x.