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UPSC NDA I 2026 Mathematics Paper

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For the next two (02) items that follow:

Let

\vec{a}, \vec{b}, \vec{c}

be unit vectors. Further,

\vec{a}

is perpendicular to

\vec{b} ; \vec{c}

makes an angle

\frac{\pi}{3}

with both

\vec{a}

and

\vec{b}

; and

\vec{c}=p \vec{a}+q \vec{b}+r(\vec{a} \times \vec{b})

.

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Question : 69 of 120

Marks: +1, -0

What is the value of

(p+q)

?

$\frac{1}{2}$
1
$\frac{3}{2}$
2

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