1.

Two intersecting vectors of equal magnitude have a resultant of magnitude oneand a half times the magnitude of either vector. What is the angle between thevectors?(82° 49').

Answer»

Let R , Q are two vector which magnitude is equal also resultant of it also equal to either e.g | R | = | Q |

and resultant = R + Q magnitude of resulatant = | R | = | Q|

so, | R | = | R + Q |

| R | = √( | R|² + | Q|² +2|R | |Q| cos∅)

take square of both sides

R² = R² + Q² + 2|R| |Q| cos∅

put | R| =|Q|

R² = R² + R² +2R² cos∅

cos∅ = -1/2

∅ = 2π/3

2¥/3 is the right answer



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