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A Gadget That Keeps Things Stable for Some Reason

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

Q) Let p ⃗ and q ⃗ be two unit vectors and 𝛼 be the angle between them. Then (𝑝 ⃗+𝑞 ⃗)

Q) If vectors 𝐚 ⃗, 𝐛 ⃗ 𝐚𝐧𝐝 𝟐𝐚 ⃗+𝟑𝐛 ⃗ are unit vectors, then find the angle between 𝐚 ⃗