1.

If three vectors along coordinate axis represent the adjacent sides of a cube of length b, then the unit vector along its diagonalpassing through the origin will be

Answer»

`(hat(i)+hat(j)+hat(K))/(sqrt(2))`
`(hat(i)+hat(j)+hat(k))/(sqrt(36))`
`hat(i)+hat(j)+hat(k)`
`(hat(i)+hat(j)+hat(k))/(sqrt(3))`

Solution :(d) DIAGONAL vector, `A=bhat(i)+bhat(j)+bhat(k)`
` "or"A=sqrt(b^(2)+b^(2)+b^(2))=sqrt(3)b`
`:.A=(A)/|A|=(hat(i)+hat(j)+hat(k))/(sqrt(3))`


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