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IF hata + hatb = hatc [ hata , hatb ...

IF ` hata + hatb = hatc [ hata , hatb , hatc ` are unit vectors `]` find the angle between ` hata and hatb `.

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` hata + hatb = hatc `
`"Now ", ( hata + hatb )* hatc = hatc hatc `
` OR , ( hata + hatb) * ( hata + hatb ) = hatc * hatc`
`or , hata * hata + hata * hatb+ hatb * hata + hatb * hatb = hatc * hatc `
`or , 1 + 2 hata . hatb + 1=1 or , hata * hatb =-(1)/(2)`
if the angle between ` hata and hatb ` is `theta `,
` hata * hatb =(1)(1) cos theta = cos theta `
`therefore cos theta =-(1)/(2) = cos 120 ^(@) or , theta = 120 ^(@)`
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