Home
Class 12
MATHS
Find the sine of the angle between the v...

Find the sine of the angle between the vectors `vec(a) = 2 hat(i) - hat(j) + hat(k) and vec(b) = 3 hat(i) + 4 hat(j) - hat(k)`. Also find a unit vector perpendicular to both the vectors.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(155)) (-3 hat(i) + 5 hat(j) + 11 hat(k))`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE QUESTION PAPER-IX

    ACCURATE PUBLICATION|Exercise SECTION-C|7 Videos

  • SAMPLE QUESTION PAPER-IX

    ACCURATE PUBLICATION|Exercise SECTION-D|6 Videos

  • SAMPLE QUESTION PAPER-IX

    ACCURATE PUBLICATION|Exercise SECTION-D|6 Videos

  • SAMPLE QUESTION PAPER-IV

    ACCURATE PUBLICATION|Exercise (SECTION D) |6 Videos

  • SAMPLE QUESTION PAPER-V

    ACCURATE PUBLICATION|Exercise (SECTION-D)|6 Videos

Similar Questions

Explore conceptually related problems

Find the sine of the angle between the vectors vec a =3 hat i+hat j+2 hat k and vec b =2hat i-2 hat j+4 hat k .

Find the sine of the angle between the vectors : 2 hat i+ 4 hat j+ 4 hat k and 2 hat i- 7 hat j+ hat k .

Find the sum of vectors vec a= 2 hati -hat j +hat k and vec b = 2 hat j+ hat k .

Find the angle between the vectors hat i-hat j and hat j-hat k .

Find the angle between the vectors hat(i)+3hat(j)+7hat(k) and 7hat(i)-hat(j)+8hat(k) .

Find the angle between the vectors hat i + hat j-hat k and hat i-hat j+hat k .

If vec a = 2hat i -3 hat j+ 3hat k and vec b =3 hat i- hat j - 4 hat k , find vec a + vec b .

For given vectors, vec a =2 hat i- hat j+2hat k and vec b =-hat i +hat j - hat k , find the unit vector in the direction of the vector vec a+ vec b .

Find the values of x,y and z so that the vectors vec a= x hat i + 2 hat j + z hat k and vec b = 2 hat I + y hat j+ hat k are equal.