The vectors →a=^i+2^j+3^k;¯b=2^i−^j+^k & →c=3^i+^j+4^k are so placed that the end point of one vector is the starting point of the next vector.Then the vectors are
A
not coplanar
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B
coplanar but cannot form a triangle
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C
coplanar but can form a triangle
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D
coplanar & can form a right angled triangle
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Solution
The correct option is C coplanar but can form a triangle →b−→a=^i−3^j−2^k →c−→b=^i+2^j+3^k →a−→c=−2^i+^j−^k Their modulii are such that the sum of two sides is greater than the third side. Thus, they can form a triangle.