# Direction Cosines and Direction ratios ( Practice Questions)

It does not matter how slowly you go as long as you do not stop.With this thought, let’s continue our discussion on direction Cosines and ratios. I hope you have already gone through the mentioned topic in detail, if not then first refer the following;

http://namitatiwari.org/2020/04/13/direction-cosines-and-direction-ratios/

As much you do practicals, your understanding will improve.
So take your time and solve the following questions

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## 37 thoughts on “Direction Cosines and Direction ratios ( Practice Questions)”

1. Anonymous says:

Gud evening….
Mam plz give the solution to check all the questions….

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2. joshiaman0225 says:

Solution
1.L=1/4,m=0,n=3/4
2.1/3=1/3,2/3=2/3,2/3=2/3 so PQ and RS is a parallel line
3.L=1/√17,m=0,n=4/√17 and k=1/√17
4. angle=cos^-1 √2/3
5.angle=cos-1 90
6.48/169-48/169=0 so it is perpendicular line
6/7=85% done…
Plz check the ans

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• sakshihalwai says:

Mam but answer 1 mai l= 0, m= 1/2 and n= √ 3/2 aa raha hai

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3. Yash Bajpai says:

mam sirf 7th ni hua baki 6 ke ans bhej dete to confirm kr lete

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4. Mahima Katiyar says:

Good morning mam,plz check the answer****1- 0,1/2,√3/2
3- L=1√17,M=0,n=4/√17
4- cos invers 1/3
5- angle= cos 90
6-. 12/13×4/13+(-3/13)×12/13+(-4/13)×3/13=0
Then 48-48/169=0 it is perpendicular line
Mam snd the solution question no 2&7

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5. Mahima Katiyar says:

Answer no 4 – angle = cos invers √2/3

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6. Mahima Katiyar says:

Question no 2 me mam point (-1,-2,1)& (1,2,5) then mam parallel hoge

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7. Shubham says:

Mam I think aman’s first answer is wrong

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8. sakshihalwai says:

Mam questions number 7 ka solution send ker dijiye

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9. Namrata Sharma says:

ma’am in ques 2 the coordinates of R should be (-1,-2,1) in place of (-1,-2,-1)???

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10. Namrata Sharma says:

ma’am in ques 2 ..the coordinates of R should be (-1,-2,1) in place of (-1,-2,-1) ??

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11. Anonymous says:

1)l=0,m=1/2,n=√3/2
2)(2,4,4)&(2,4,4)both are same therefore they are parallel
3)a=1,b=0,c=4
4)cos^-1(√2/√3)
5)angle=90
6)48/169-48/169=0 hence angle Will be 90
7)first line=–1/√6, 1/√6, 2/√6
Second line=1/√14, 2/√14, 3/√14

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12. Pranjul Gupta says:

1)l=0,m=1/2,n=√3/2
2)(2,4,4)&(2,4,4)both are same therefore they are parallel
3)a=1,b=0,c=4
4)cos^-1(√2/√3)
5)angle=90
6)48/169-48/169=0 hence angle Will be 90
7)first line=–1/√6, 1/√6, 2/√6
Second line=1/√14, 2/√14, 3/√14

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• Excellent Pranjul…in question no 2 there is a correction…I updated it, please check

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13. Anonymous says:

mam can you please provide previous year questions for practice related to the topics as not having question bank.

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14. bcasaima says:

Thank you Ma’am

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15. Anonymous says:

Mam in question number 7 m/n ki two value Aa rahi hai
2/3 and 1/2
Mam dono se direction cosine nikal na hoga

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16. Shivani says:

Mam I have done all questions.
Thanks mam…

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17. rajshakya8887 says:

Ques:- 7
DCs for one line are ( -1/√6,1/√6,2/√6 )
DCs for other line are
( 1/√14,2/√14,3/√14 )

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18. rajshakya8887 says:

Ques:-7
DCs for one line are ( -1/√6,1/√6,2/√6 )
DCs for other line are
( 1/√14,2/√14,3/√14 )

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19. Anonymous says:

mam I completed 6 questions. ..above 80%
please provide solutions so to check the ans.

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