The moment of the couple formed by the forces 5i^+k^ and −5i^−k^ acting at the points (9,-1,2) and (3,-2,1) respectively, is
Explanation
1. Position Vector (r) nikaalna:
Humein point B se point A tak ka vector nikaalna hai:
r=(9−3)i^+(−1−(−2))j^+(2−1)k^
2. Moment of the Couple (M) calculate karna:
Moment ka formula hota hai:
Isse determinant method se solve karte hain:
M=i^65amp;j^amp;1amp;0amp;k^amp;1amp;1
3. Determinant ko expand karna:
M=i^(1(1)−0(1))−j^(6(1)−5(1))+k^(6(0)−5(1))
Final Answer:
The moment of the couple is:
Explanation
1. Position Vector (r) nikaalna:
Humein point B se point A tak ka vector nikaalna hai:
r=(9−3)i^+(−1−(−2))j^+(2−1)k^
2. Moment of the Couple (M) calculate karna:
Moment ka formula hota hai:
Isse determinant method se solve karte hain:
M=i^65amp;j^amp;1amp;0amp;k^amp;1amp;1
3. Determinant ko expand karna:
M=i^(1(1)−0(1))−j^(6(1)−5(1))+k^(6(0)−5(1))
Final Answer:
The moment of the couple is: