Question

Maximum angle made by the resultant of two vectors of magnitudes 5,3 with the higher magnitude vector is

Answer 1

Answer

√34

Explanation:

Answer 2

Answer:

The higher magnitude vector is $8$

Explanation:

The parallelogram law of vector addition gives the resultant of two vectors. As per this law, the resultant vector is

$R=\sqrt{A^2+B^2+2ABcos\theta}$

Here $A$ and $B$ are the two vectors and $\theta$  is the angle between them.

Now it is given that $R$  will be maximum when $\theta$  is equal to zero that is when the two vectors are parallel to each other.

Now given that

$A=5\\B=3$

Therefore,

$R=\sqrt{5^2+3^2 +2\times5\times3\times cos 0}\\\\R=\sqrt{25+9+30\times 1} (\because cos0=1)\\\\R=\sqrt{64}\\R=8$