Determine the vector d^{\rightarrow} which is perpendicular to both a^{\rightarrow} and b^{\rightarrow} also given c^{\rightarrow}. d^{\rightarrow} = 15. Assume a^{\rightarrow} = i^{^} + 4j^{^} + 2k^{^}, b^{\rightarrow} = 3i^{^}−2j^{^} + 7k^{^} and c^{\rightarrow} = 2i^{^}−j^{^} + 4k^{^}?

Correct Answer is : 13(160i−5j−70k)

\frac{1}{3}(60i^{^}−50j^{^}−70k^{^})

\frac{1}{3}(6i^{^}−50j^{^}−70k^{^})

\frac{1}{3}(160i^{^}−5j^{^}−70k^{^})

\frac{1}{3}(160i^{^}−5j^{^}−7k^{^})

AAI ATC Junior Executive 25 Mar 2021 Shift 3 Paper

Question : 73 of 120

Marks: +1, -0

Determine the vector

d↖{⟶}

which is perpendicular to both

a↖{⟶}

and

b↖{⟶}

also given

c↖{⟶}

d↖{⟶}

= 15. Assume

a↖{⟶} = i↖{^} + 4j↖{^} + 2k↖{^}

b↖{⟶} = 3i↖{^}−2j↖{^} + 7k↖{^}

and

c↖{⟶} = 2i↖{^}−j↖{^} + 4k↖{^}

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