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If A+B+C =O, pick up the correct statement
a) A, B and C each must be a null vector
b) the magnitude of Ā equals the magnitude of B+C
c) the magnitude of Ā can never be greater than the sum of the magnitudes Band C
d) A, B and C must lie in the same plane
Answers
Answer:
d) A, B and C must lie in the same plane
Explanation:
option d is correct
Answer:
(a) Incorrect
In order to make a + b + c + d = 0, it is not necessary to have all the four given vectors to be null vectors. There are many other combinations which can give the sum zero.
b) CORRECT
A+(B+C)=0
A=-(B+C)
|A|=|-(B+C)|
A=B+C
(c) Correct
a + b + c = 0
a = -(b + c )
Taking modulus both sides, we get:
| a | = | b + c | … (i)
Equation (i) shows that the magnitude of a is equal to or less than the sum of the magnitudes of b, and c
Hence, the magnitude of vector a can never be greater than the sum of the magnitudes of b, c, and d.
(d) Correct
For a + b + c = 0
a + (b + c) = 0
The resultant sum of the vectors a, (b + c)can be zero only if (b + c) lie in a plane containing a assuming that these vectors are represented by the three sides of a triangle.
Explanation:
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