Find the angle between two vectors vector a and vector b, if (i) |vector a| = √3, |vector b| = 2 and vector(a .b) = √6

Question

Find the angle between two vectors  \(\vec a\) and  \(\vec b\), if

(i) |\(\vec a\)| = √3, |\(\vec b\)| = 2 and  \(\vec a.\vec b=\sqrt6\)

(ii)   |\(\vec a\)| = 3, |\(\vec b\)| = 3 and  \(\vec a.\vec b=1\)

Answer 1

(i) we know that  \(\vec a.\vec b=|\vec a||\vec b|\) cos x where x is the angle between two vectors

x = 45°

(ii) we know that,

\(\vec a.\vec b=|\vec a||\vec b|\) cos x

Where, x is the angle between two vectors.