If three vectors along coordinate axis represent the adjacent sides of – InterviewSolution

InterviewSolution

1.	If three vectors along coordinate axis represent the adjacent sides of a cube of length b, then the unit vector along its diagonal passing through the origin will beA. `(hat(i)+hat(j)+hat(k))/(sqrt(2))`B. `(hat(i)+hat(j)+hat(k))/(sqrt(36))`C. `hat(i)+hat(j)+hat(k)`D. `(hat(i)+hat(j)+hat(k))/(sqrt(3))`
Answer» Correct Answer - D (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))`

Discussion

No Comment Found

Related InterviewSolutions

An insect fly start from one corner of a cubical room and reaches at diagonally opposite corner. The magnitude or displacement of the insect is `40sqrt(3)` ft. Find the volume of cube.A. `64sqrt(3)ft^(3)`B. `1600ft^(3)`C. `64000ft^(3)`D. None of these
If `A.B=AxxB`, then angle between `A` and `B` isA. `45^(@)`B. `30^(@)`C. `60^(@)`D. `90^(@)`
If `|AxxB| = sqrt3 A.B,` then the value of |A+B| isA. `(A^(2)+B^(2)+(AB)/(sqrt(3)))^(1//2)`B. `A+B`C. `(A^(2)+B^(2)+sqrt(3)AB)^(1//2)`D. `(A^(2)+B^(2)+AB)^(1//2)`
Find the vector that must be added to the vector `hat(i)-3hat(j)+2hat(k)` and `3hat(i)+6hat(j)-7hat(k)` so that the resultant vector is a unit vector along the y-axis.A. `-4hat(i)-2hat(j)+5hat(k)`B. `-4hat(i)+2hat(j)+5hat(k)`C. `4hat(i)-2hat(j)+5hat(k)`D. `4hat(i)-2hat(j)-5hat(k)`
The angle between `A` the resultant of `(A+B)` and `(A-B)` will beA. `0^(@)`B. `tan^(-1)(A/B)`C. `tan^(-1)(B/A)`D. `tan^(-1)((A-B)/(A+B))`
If `P+Q=0`. Then which of the following is necessarily ture?A. `P=0`B. `P= -Q`C. `Q=0`D. `P=Q`
`vecA + vecB` can also be written asA. A-BB. B-AC. B+AD. B.A
What happens, when we multiply a vector by `(-2)`A. Direction reverses and unit chargesB. Direction reverses and magnitude is doubledC. Direction remains unchanged and unit changesD. None of the above
A vector multiplied by the number 0, results into
what is the dot product of two vectors of magnitudes 3 and 5,if angle between them is `60^@`?A. 5.2B. 7.5C. 8.4D. 8.6