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Find the angle between two vectors A= 2 ...

Find the angle between two vectors `A= 2 hat i + hat j - hat k` and `B=hat i - hat k` .

Text Solution

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`cos theta=(vec(A.)vec(*B))/(|vec(A)||vec(B)|)`
`=(2xx1+1xx0+(-1)xx(-1))/(sqrt(2^(2)+1^(2)+(-1)^(2)sqrt(1^(2)+0^(2)+(-1)^(2))))`
`=(3)/(sqrt(6sqrt(2)))=sqrt(3)/(2)theta=30^(@)`
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