If the volume of a parallelopiped, whose coterminus edges are given by the vectors \overrightarrow{{a}}=\stackrel{\^}{{i}}+\stackrel{\^}{{j}}+n \stackrel{\^}{{k}}, \overrightarrow{{b}}=2\stackrel{\^}{{i}}+4 \stackrel{\^}{{j}}-{n} \stackrel{\^}{{k}} and \overrightarrow{{c}}=\stackrel{\^}{{i}}+ {n}\stackrel{\^}{{j}}+3\stackrel{\^}{{k}} ({n} \\geq0), is 158{cu} . units, then : [5 Sep 2020 Shift 1]

Correct Answer is : →b.→c=10

\overrightarrow{{a}}.\overrightarrow{{c}}=17

\overrightarrow{{b}} .\overrightarrow{{c}}=10

Vector Algebra Part 1

Section: Mathematics

Question : 22 of 100

Marks: +1, -0

If the volume of a parallelopiped, whose coterminus edges are given by the vectors

→

−n

and

→

(n≥0),
is 158cu. units, then :

[5 Sep 2020 Shift 1]

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