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Find the angle between the vectors : vector a =3i - 4j and vector b = -2i+3k

Answer»

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a =3i - 4j and vector B = -2i+3k

now ...|a|=√[(3)²+(-4)²]=5

and.....|b|=√[(-2)²+(3)²]=√13

now the DOT PRODUCT of a and b is

a.b=-6-12=-18

the angle is

\cos {}^{ - 1} ( \frac{ - 18 }{ 5 \sqrt{13} } )

=3.09°

\large\mathcal\red{hope\: this \: helps \:you......}



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