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.

Answer 1

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

Answer 2

Yes

Answer 3

D resultant is 7.74

Answer 4

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

Answer 5

I don't understand

Answer 6

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