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Q.

If the vectors (i^+j^+k^) and 3i^ form two sides of a triangle, the area of the triangle is

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a

3unit

b

23unit

c

32unit

d

32unit

answer is C.

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Detailed Solution

: Area of triangle =12ABsinθ=|A×B|2A×B=(i^+j^+k^)×3i^=-3k^+3j^|A×B|=(-3)2+(3)2=32Area =322=32unit
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If the vectors (i^+j^+k^) and 3i^ form two sides of a triangle, the area of the triangle is