Let 𝒖 = 1, 1 . Find the vector 𝒗 such that 𝒖 ∙ 𝒗 = 𝟖 and 𝒗 = 32

Determine which of the following vectors are equal:𝑢1=1,2,3,𝑢2=2,3,1, 𝑢3=1,3,2, 𝑢4=2,3,1

Find the magnitude of vector 𝐴 = 3𝑖 + 2𝑗 + 𝑘

Find the vector with magnitude 5 and direction 𝜃 = ?M@ . Write your answer in 𝑣 = 𝑎𝒊 + 𝑏𝒋 form

Q.8 Three vectors are as follows: 𝑎𝑎⃗ = 3𝑖𝑖̂ − 10𝑗𝑗̂ + 7𝑘𝑘� 𝑏𝑏�⃗ = −9𝑖𝑖̂ + 6𝑗𝑗̂ − 47𝑘𝑘� 𝑐𝑐⃗ = 11𝑖𝑖̂ − 17𝑘𝑘� The value of �𝑎𝑎⃗ + 𝑏𝑏�⃗ � ⋅ 𝑐𝑐⃗ is (A) 614 (B) 746 (C) 2 (D) 134

Let 𝐴 = −2, 3 and 𝐵 = 4, 5 . Express the vector 𝐴𝐵 in 𝑣 = 𝑎𝒊 + 𝑏𝒋 form