Home
Class 12
MATHS
If a line has the direction ratios sqrt(...

If a line has the direction ratios `sqrt(2),-sqrt(5),sqrt(2)`,
then its direction cosines are

A

(a) `sqrt(5),-sqrt(2),sqrt(5)`

B

(b) `(sqrt(2))/(5),(-sqrt(5))/(5),(sqrt(2))/(5)`

C

(c) `sqrt(2),sqrt(5),sqrt(2)`

D

(d) `(sqrt(2))/(3),(-sqrt(5))/(3),(sqrt(2))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If the length of a vector be 7 and direction ratios be 2, -3, 6, then its direction cosines are

If a line has direction ratios 2,-1,-2 then what are its direction cosines ?

Multiply: (sqrt(5)-sqrt(7))sqrt(2)

If the direction ratios of a line are proportional to 1,-3,2 then its direction cosines are: a) (1)/(sqrt(14)),(-3)/(sqrt(14)),(2)/(sqrt(14)) b) (1)/(sqrt(14)),(3)/(sqrt(14)),(2)/(sqrt(14)) c) (-1)/(sqrt(14)),(3)/(sqrt(14)),(-2)/(sqrt(14)) d) (-1)/(sqrt(14)),(-3)/(sqrt(14)),(-2)/(sqrt(14))

5/4……sqrt(3)/sqrt(2)

Rationalize the denominator 8/(3sqrt(2)+sqrt(5))

If l,m,n are direction cosines of the line then -l,-m,-n can be: a) only direction ratios of the line b) only direction cosines of the line c) direction cosines and direction ratios of the line d) neither direction cosines nor direction ratios of the line

Rationalize the denominator: 3/(2sqrt(5)-3sqrt(2))

Rationalize the denominator: 3/(2sqrt(5)-3sqrt(2))