two vectors are given by a is equals to minus 2 ICAP + 2 J cap - 3 k cap and vector b is equals to 5 ICAP + 3 J cap - 2 k cap if 3 A + 2 b minus C is equal to zero then third vector C is
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Given:
a = -2i + 2j - 3k
b = 5i + 3j - 2k
and,
3a + 2b - c = 0
To Find:
vector c?
Solution:
As given,
a = -2i + 2j - 3k
b = 5i + 3j - 2k
and,
3a + 2b - c = 0
put value of a and b in above equation,
3.( -2i + 2j - 3k ) + 2. ( 5i + 3j - 2k ) - c = 0
⇒ -6i + 6j -9k + 10i + 6j - 4k = c
⇒ 4i + 12j - 13k = c
Hence, the vector c is 4i + 12j - 13k.
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