بسم الله الرحمن الرحيم
وعليكم السلام ورحمة الله وبركاته
مـا أعرف كثير للمتجهات بس بحاول وإن شاء يكون صحيح .. راح أحل أول بارت وباخذ الزاوية 30 ..
بسم الله
a) First of all lets call Vector A = 6 Units , Vector B = 9 Units , Angle between them is 30 Degrees Celsius.
The resultant of these two vectors denoted as A+B.
So to find the magnitude of A+B = √ ( A^2 + B^2 + 2AB cos30) = 14.5097
This is the magnitude & it is done and finished.
Now to find the direction with respect the smaller vector which is obviously A we have to use this equation to find alpha
tan α = B sin30 / (A + B cos 30) = 0.3262
Then α = 18.07
this is the angle between the resultant A+B and A .
So the resultant makes an angle of 18.07 degrees with vector A.