Question

and vector of magnitude 2&3 be added to give magnitude 4.If yes state the angle between them.

Answer 1

Answer:

yes , it may be.........

the angle would be 60⁰

Answer 2

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$\huge\tt{CORRECT~QUESTION:}$

Two vectors of magnitude 3 units and 4 units respectively. What should be the angle between them if the magnitude of the resultant is 5 units ?

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$\huge\tt{SOLUTION:}$

Let the two vectors be P and Q and their resultant vector be R

Let the angle between P & Q be ∅

Given:

∣P∣=3, ∣Q∣=4 and ∣R∣=5 units

Magnitude of resultant vector∣R∣² =∣P |+∣Q∣² +2∣P∣∣Q∣cosθ

∴ 5² =3² +4² +2(3)(4)cosθ

We get cosθ=0

⟹θ=90°

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