The following questions (MCQ) on vectors were included in the AIPMT 2010 question paper:
(1) Six vectors, a through f have the magnitudes and directions indicated in the figure. Which of the following statements is true?
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLggdtndQhtxkK9Ecq_VLfxL4UmLF8V4BGU2prSl19OGebl7q3h0yY62GUSXQSls80pN3oo43fhajf1CUA6xVnjJ7Ryyl3YNN6pqHovsB9IByw1Q41-dk5d6BUSbZHKU4VMkGUEw/s200/Vectors2-ep21-4-10.jpg)
(2) b + c = f
(3) d + c = f
(4) d + e = f
The correct option is (4) as is clear from the adjoining figure
(2) A particle has initial velocity (3î + 4ĵ) and has acceleration (0.4î + 0.3ĵ). Its speed after 10 s is
(1) 10 units
(2) 7 units
(3) 7√2 units
(4) 8.5 units
We have v = u + at with usual notations.
Therefore the velocity after 10 s is given by
v = (3î + 4ĵ) + (0.4î + 0.3ĵ)10 = 7î + 7ĵ
The speed after 10 s is the magnitude of the above velocity vector and is equal to √(72 + 72) = 7√2 units [Option (3)].
Now see these questions (MCQ) on vectors.