Asked by joe

Two vectors P and Q of magnitudes 5 and 3 units respectively are inclined at an angle of 30 to each other.calculate the component of the resultant in the direction of Q.
Answered by Reiny
Make your sketch.

Method 1, complete the parallelogram and find the diagonal
x^2 = 5^2 + 3^2 - 2(5)(3)cos 150°
= 59.9807...
x = appr 7.74

(exact value: x^2 = 34 + 30√3/2
= 34 + 15√3
x = √(34 + 15√3) )

method 2
place vector P along the horizontal
so vector P = (5,0)
vector Q is (3cos30, 3sin30)
P+Q = (5,0) + (3√3/2, 3/2)
= ( 5+3√3/2 , 3/2)

maginitude = √( (5+3√3/2)^2 + 9/4 ) = appr 7.44
same as above
Answered by Adigun Anifat
Yes
Answered by Jummy
D resultant is 7.74
Answered by Anonymous
Two vector P and Q of magnitude 5 and 3 unit respectively are inclined at an angle 30° to each other.calculate the resultant in the direction of Q and perpendicular to the direction of Q
Answered by Anonymous
I don't understand
Answered by Ayomide
Two vectors a and B of magnitude of 5 and 3 Unit respectively are inclined at an angle of 30 degree to each other. Calculate the resultant of the two vectors