If h is the altitude of a parallelopiped determined by the vectors {a}, {b}, {c} and the base is taken to be the parallelogram determined by {a} and {b} where {a}=\stackrel{\^}{{i}}+\stackrel{\^}{{j}}+\stackrel{\^}{{k}}, {b}=2 \stackrel{\^}{{i}}+4 \stackrel{\^}{{j}}-{{k}}^{\^} and {c}=\stackrel{\^}{{i}}+\stackrel{\^}{{j}}+3 \stackrel{\^}{{k}}, then the value of 19 h^{2} is

BITSAT 2018 Slot 2 Solved Paper

Section: Mathematics

Question : 141 of 150

Marks: +1, -0

If h is the altitude of a parallelopiped determined by the vectors a,b,c and the base is taken to be the parallelogram determined by a and b where a=

,b=2

−

and c=

, then the value of 19h2 is

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