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A vector a makes 30^(@) and b makes 120^...

A vector a makes `30^(@)` and `b` makes `120^(@)` angle with the `x`-axis. The magnitude of these vectors are 3 unit and 4 unit, respectively. The magnitude of resultant vector is

A

3 unit

B

4 unit

C

5 unit

D

1 unit

Text Solution

Verified by Experts

(c) The figure shown as described in the question.

According to paralllelogram law of vectors,
`R=sqrt(a^(2)+b^(2)-2ab cos alpha)`
`=sqrt(3^(2)+4^(2)+2xx3xx4 cos 90^(@))=5` units
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Knowledge Check

  • When two vectors vecA and vecB of magnitudes a and b respectively are added, the magnitude of resultant vector is always

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