Question
Let a line pass through the origin and make equal angles
with the coordinate axes. Then the direction cosines of the line are:Solution
Let the direction cosines be l, m, n.
If the line makes equal angles with the coordinate axes, then: l = m = n And we know the identity for direction cosines:
l² + m² + n² = 1 Substitute l = m = n: ⇒ 3l² = 1
⇒ l² = 1/3
⇒ l = m = n = 1/√3 So, the direction cosines are (1/√3, 1/√3, 1/√3)
In the sentence marked as (6) in the passage, find out an error, if there is any. If there is no error, mark option 5, ‘No error’ as the answer.
 Select the most appropriate option to fill in blank
1) enlarges                2) broadens                     3) swell up                   4) e...
Fill in the blank with the appropriate word.
Find the appropriate word.
According to the author, which sector has taken up AI faster?
Fill the blank 2.
Find the appropriate word for Blank 4.
Fill in blank 3 with the appropriate word from the options.
Choose the most appropriate word for blank 109.
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