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Vectors in 2 mins 🔥

Q) A vector 𝑎 ⃗ makes equal angles with all the three axes. If the magnitude of the vector is

If 𝐚 𝐛 , 𝐜 𝐚𝐧𝐝 𝐝 are four non-zero vectors such that 𝐚 ×𝐛 =𝐜 ×𝐝 and 𝐚 ×𝐜 =𝟒𝐛 ×𝐝

Q) The unit vector perpendicular to the vectors 𝑖 ˆ−𝑗 ˆ and 𝑖 ˆ+𝑗 ˆ is