Solve for the magnitude of the fourth displacement vector 𝐹= (6𝐵− 2𝐶+ 𝐴) m, giventhe following displacement vectors:𝐴 = (5𝑖̂+ 2𝑗̂− 9𝑘 ̂) m𝐵= (8𝑖̂+ 3𝑗̂+𝑘 ̂) m𝐶 = (4𝑖̂− 7𝑗̂− 6𝑘 ̂) m

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

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

wo displacement vectors are added: one of length 2.0 m and one of length 3.0 m. Not knowing the respective directions, we can say that the resultant length of the sum of the vectors will be in magnitude Question 8Answera.between 5m and 3mb.5mc.2md.less than 1me.between 5m and 1m

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

Find the magnitude of vector 𝐴 = 3𝑖 + 2𝑗 + 𝑘a. 3.7b. 13.0c. 14.0d. 6.6