Let \overrightarrow{c} be the projection vector of \overrightarrow{b}=\lambda \stackrel{\^}{i}+4 \stackrel{\^}{k}, \lambda>0, on the vector \overrightarrow{a}=\stackrel{\^}{i}+2 \stackrel{\^}{j}+2 \stackrel{\^}{k}. If |\overrightarrow{a}+\overrightarrow{c}|=7, then the area of the parallelogram formed by the vectors \overrightarrow{b} and \overrightarrow{c} is ______ [22 Jan 2025 Shift 1]

JEE Main 22 Jan 2025 Shift 1 Paper

SECTION - B
Numerical Value Type Questions: This section contains 5 Numerical based questions. The answer to each question should be rounded-off to the nearest integer.

Section: Mathematics

Question : 21 of 75

Marks: +1, -0

Let

→

be the projection vector of

→

=λ

,λ>0, on the vector

→

. If |

→

|=7, then the area of the parallelogram formed by the vectors

→

and

→

is ______

[22 Jan 2025 Shift 1]

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