engineering recuitment GATE EE 2023-24 Test Series Electromagnetic Theory Vector Calculus Vector Algebra
Let \(\overrightarrow{α}\) = 3î + ĵ and \(\overrightarrow{β}\) = 2î - ĵ + 3k̂. If \(\overrightarrow{β} = \overrightarrow{β_1} - \overrightarrow{β_2}\) and \(\overrightarrow{β_1}\) is parallel to \(\overrightarrow{α}\) and \(\overrightarrow{β_2}\) is perpendicular to \(\overrightarrow{α}\), then \(\overrightarrow{β_1} × \overrightarrow{β_2}\) is equal to
1
-3î + 9ĵ + 5k̂
2
3î - 9ĵ - 5k̂
3
\(\frac{1}{2}\)(-3î + 9ĵ + 5k̂)
4
\(\frac{1}{2}\)(3î - 9ĵ + 5k̂ )