No reasoning required for alll the questions

Problems 3 and 4 refer to the vectors in the following diagram: b 3. Which of the following statements is correct concerning the vectors in the diagram? (a) a-b=c (b) d = 2b (c) d =a -2b (d) c=d+b 4. The coordinates of a in the basis {b, c} are: (a) ( b ) -1 (c) - w (d) L Nl -2 6 1. Three vectors aregiven by theircoordinates: u=[ I], v=[ l ]1 w=[ 3]. Solve the necessary,r problemtfs] and select eaactlf,r one right answer from {a}, (b, (c), (d): {a} {saw} is a basis in a? {b} {sonar} do not span R2 {c} {some} is a linearly,r independent set {cl} {u, v} is a basis in R2 , but {1a, 11!} is not a basis in R2. 2. The following vectors a; b, .r:1 and v are given by their coordinates: 1 2 3 1 a- = , b= l , c = l , v = l Solve the problemts] that will allow you to answer 2 [I 2 6 the following questions? and then select exactly one right answer from {a}, (b, {c}, {cl}: Is the set {a,b,c} a basis in 123 '9 Does the set {mane} span 33 '2' Does the set {mic} span vector v? (a) {mine} is not a basis in R3 , and it does not span R3 , but {mine} does span vector it {b} {mine} is a basis in R3 1 so it spans R3 and it spans v as a vector from JP. {c} {this c} is not a basis in R3 , so it does not: span R3 , and it does not span vector v. [cl]: None of (a), {b}, {c} is true