Suppose v1, v2 and v3 are vectors in R 3 such that 4v1 + 3v2 − v3 = 0 Which of the following statements must be TRUE? (I) v3 ∈ span{v1, v2} (II) det   v1 v2 v3   = 0 (III) If W = span{v1, v2, v3}, then the dimension of W is at most 2.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.