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Question

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
ba=^i3^j2^k
cb=^i+2^j+3^k
ac=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.

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