The resultant of two vectors angle 150 degree is 10 units and is perpendicular to one vector.the magnitude of smaller vector is
Answers
Answered by
37
if we draw the resultant vector from origin along x-axis:
one of the vector is Perpendicular to resultant vector, so mark vector a from origin along +y axis.
From the diagram, we can tell that the other vector b at 150 degrees clockwise from vector a(i,e 60 degrees from +X axis.)
IN X direction,
b.cos60° =10
since cos60°=1/2
b=10/1/2=20
in the Y direction:
a=b.sin60°
since sin 60°=√ 3/2
a=20 √ 3/2
=10√3
Since 10√3 is smaller than 20. hence answer is 10√3
one of the vector is Perpendicular to resultant vector, so mark vector a from origin along +y axis.
From the diagram, we can tell that the other vector b at 150 degrees clockwise from vector a(i,e 60 degrees from +X axis.)
IN X direction,
b.cos60° =10
since cos60°=1/2
b=10/1/2=20
in the Y direction:
a=b.sin60°
since sin 60°=√ 3/2
a=20 √ 3/2
=10√3
Since 10√3 is smaller than 20. hence answer is 10√3
Similar questions