Question

6. Two vectors have magnitudes 3 unit and 4 unit respectively. What should be the angle between them if the magnitude of the resultant is (a) 1 unit, (b) 5 unit and (c) 7 unit. ​

Answer 1

Answer:

Explanation:

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SOLUTION::

Magnitude of vector a, lal = 3 m Magnitude of vector b, lbl = 4 m

(a) If resultant, R = 1 unit then,

R = √(a²+b²+a.b.cos ) 1= √(3² +4² + cos 4)

O = 180°

(b) If resultant, R = 5 unit then,

R = √(a²+b²+a.b.cos )

5 = √(3² +4² + cos 4)

Φ = 90°

(c) If resultant, R = 7 unit then,

R = √(a²+b²+a.b.cos ) 7 = √(3² +4² + cos 4)

= : 0°

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