Three points, Q, R and S, lie on the same line such as R lies between Q and S . Find QS of RS = 19 an QR =32

QS=51

Step-by-step explanation:

It was given that RS = 19 and QR =32

QS=x

Q-R was measured and found to be 32

R-S was measured and found to be 19

Q-S will be the sum of Q-R and R-S which is 32+19= 51

QS=51

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this