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Find the angle between the vectors h...

Find the angle between the vectors ` hat i-2 hat j+3 hat ka n d3 hat i-2 hat j+ hat kdot`

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)((5)/(7))`
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Find the angle between the vectors hat i-2hat j+3hat k and 3hat i-2hat j+hat k

If theta is the angle between the vectors 2 hat i-2 hat j+4 hat k\ a n d\ 3 hat i+ hat j+2 hat k , then sintheta= 2/3 b. 2/(sqrt(7)) c. (sqrt(2))/7 d. sqrt(2/7)

Knowledge Check

  • The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

    A
    `sin^(-1)((sqrt(8))/3)`
    B
    `sin^(-1)(1/3)+(pi)/3`
    C
    `cos^(-1)((sqrt(8))/3)`
    D
    `cos^(-1)sqrt(8/3)`

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