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If vec a=x hat i+2 hat j-z hat k\ and ...

If ` vec a=x hat i+2 hat j-z hat k\ and vec b=3 hat i-y hat j+ hat k` are two equal vectors, then write the value of `x+y+zdot`

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Given,
`veca=vecb`
`implies x hat i+2 hat j-z hat k= 3 hat i-y hat j+ hat k`
`implies x=3,y=-2,z=-1`
`therefore x+y+z=3-2-1`
`implies x+y+z=0`
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RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
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  2. Find a unit vector in the direction of the vector vec a=3 hat i-2 hat...

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  3. If vec a=x hat i+2 hat j-z hat k\ and vec b=3 hat i-y hat j+ hat k a...

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  14. If vec a ,\ vec b ,\ vec c are three non-zero vectors, no two which...

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  15. If points A(60 hat i+3 hat j),\ B(40 hat i-8 hat j) and C(a hat i-52 h...

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  16. If G is the intersection of diagonals of a parallelogram A B C D and O...

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  17. The vector cosalpha\ cosbeta hat i+cosalpha\ sinbeta hat j+sinalpha ha...

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