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JEE Advanced 2024 Paper 2 Mathematics Q11
Mathematics
Problem
Let
p
⃗
\vec{p}
p
= 2î + ĵ + 3
k
^
\hat{k}
k
^
and
q
⃗
\vec{q}
q
= î − ĵ +
k
^
\hat{k}
k
^
. If for some real numbers α, β, and γ, we have 15î + 10ĵ + 6
k
^
\hat{k}
k
^
= α(2
p
⃗
\vec{p}
p
+
q
⃗
\vec{q}
q
) + β(
p
⃗
\vec{p}
p
− 2
q
⃗
\vec{q}
q
) + γ(
p
⃗
\vec{p}
p
×
q
⃗
\vec{q}
q
), then the value of γ is ________.
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