Q) Find a vector of magnitude 21 units in the direction opposite to that of (AB) ⃗ where A and B

Q) Unit vector along (𝐏𝐐) ⃗ where coordinates of P and Q are (2, 1, -1) and (4, 4, -7) is

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

If the vectors 𝐚 ⃗𝐚𝐧𝐝 𝐛 ⃗ are such that |𝐚 ⃗ |=𝟑, |𝐛 ⃗ |=𝟐/𝟑 𝐚𝐧𝐝 |𝐚 ⃗×𝐛 ⃗ | is a unit

Q) If the sides 𝐴𝐵 and 𝐴𝐶 of △𝐴𝐵𝐶 are represented by vectors 𝑗+𝑘 and 3𝑖 −𝑗 +4𝑘 then