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If the area of a triangle of sides vecA ...

If the area of a triangle of sides `vecA & vecB` is equal to `(AB)/(4)`, then find the acute angle between `vecA & vecB`.

Text Solution

Verified by Experts

The correct Answer is:
`30^(@) or 150 ^(@)`
If vector `vecA & vecB` are sides of a triangle then its area `= (1)/(2) |vecAxx vecB|= (AB)/(4)`
`therefore (1)/(2) AB sin theta = (AB)/(4) rArr sin theta = (1)/(2)`
`rArr theta = 30^(@) OR 150^(@)`
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