Home
Class 12
MATHS
Forces of magnitude 5sqrt(2)and10sqrt(2)...

Forces of magnitude `5sqrt(2)and10sqrt(2)` units acting in the directions `3hat(i)+4hat(j)+5kand10hat(j)+6hat(j)-8hat(k),` respectively, act on a particle which is displaced from the point with position vector `4hat(i)-3hat(j)-2hat(k)` to the with position vector `6hat(i)+hat(j)-3hat(k).` Find the work done by the forces.

Text Solution

Verified by Experts

The correct Answer is:
69 units
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise EXERCISE-6.2|10 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise EXERCISE-6.3|8 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

Similar Questions

Explore conceptually related problems

Find the vector and Cartesian equations of the plane passing through the point with position vector 2hat(i)+6hat(j)+3hat(k)" and normal to the vector "hat(i)+3hat(j)+5hat(k).

Find the torque of the resultant of the three forces represented by -3hat(i)+6hat(j)-3hat(k),4hat(i)-10hat(j)+12hat(k)and4hat(i)+7hat(j) acting at the point with position vector 8hat(i)-6hat(j)-4hat(k), about the point with position vector 18hat(i)-3hat(j)-9hat(k).

Find the magnidude and direction cosines of the torque of a force represented by 3hat(i)+4hat(j)-5hat(k) about the point with position vector 2hat(i)-3hat(j)+4hat(k) acting through a point whose position vector is 4hat(i)+2hat(j)-3hat(k).

Find the projection of vector hat i+3 hat j+7 hat k on the vector 7 hat i- hat j+8 hat kdot

Show that the points whose position vectors are 2hat(i) + 3hat(j) - 5hat(k), 3hat(i) + hat(j) - 2hat(k) and 6hat(i) - 5hat(j) + 7hat(k) are collinear.

Find the torque of a force 7 hat(i) + 3 hat(j) - 5 hat(k) about the origin. The force acts on a particle whose position vector is hat(i) - hat(j) + hat(k)

Find the projection of the vector hat i + 3 hat j + 7 hat k on the vector 7 hat i - hat j + 8 hat k .