three forces a vector is equal to ICAP + 2 j cap + k cap and b vector is equal to two ICAP - 2 j cap + 3 k cap and c vector acting on a body to keep it in equilibrium then c vector is
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Given:
A = (i + j + k)
B = (2i - j + 3k)
To find:
Force C, when body is in equilibrium.
Solution:
For the body to be in equilibrium, the sum of all the forces is equal to 0
So, A + B + C = 0
(i + j + k) + (2i - j + 3k) + C = 0
3i + 0j + 4k + C = 0
C = -3i - 4k = -(3i + 4k)
So, force C = -(3i + 4k)
Therefore, option (1) -(3i + 4k) is correct.
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