the magnitude of the resultsnt of two vectors of magnitude 3 units and 4 units in 5 units . what is the angle between them
Answers
Answered by
1
Answer:Resultant(R) of two vectors is given as
R = sq root[ (R1)^2 + (R)^2 + 2*R1*R2*cos(a) ]
where R1 = magnitude of first vector
R2 = magnitude of second vector
a = angle between two vectors
Now, R1 = 3 units, R2 = 4 units, R = 5 units
substituting the values, we get
5 = sq root[ (3)^2 + (4)^2 + 2*3*4*cos(a) ]
or (5)^2 = [ 9 + 16 + 24cos(a) ]
25 = 25 + 24cos (a)
0 = 24cos(a)
cos(a) = 0
a = 90 degree
It means that the two vectors are perpendicular to each other.
Explanation:
Similar questions