Do not solve the full qn My question is why is the vector V Ao t = 1.5 and V Ao n =-2.6 as shown in the solution. I understand V Ao t is = -3cos30=-1.5 and V Ao n = -3sin30 =-2.6 Why is it postive 1.5...

Do not solve the full qn

My question is why is the vector V_Ao
^t= 1.5 and V_Ao
ⁿ =-2.6 as shown in the solution. I understand V_Ao
^tis = -3cos30=-1.5 and V_Ao
ⁿ = -3sin30 =-2.6

Why is it postive 1.5 instead of negative 1.5 or for V_Ao
ⁿ
why isit negative 2.6 and not positive 2.6?

Why is V_b1
^t= -0.866 and not 0.866 and V_b1
ⁿ = -0.5 and not 0.5. I dont get it how to visualise the vector direction.

Please provide your answer by drawing a vector diagram with the angles to illustrate it.

Extracted text: 4. A sphere A of mass m= 2 kg is released from rest in the position shown and strikes the frictionless inclined surface of a wedge B of mass m3= 6 kg with a velocity v,= 3 m/s. The wedge, which is supported by rollers and may move freely in the horizontal direction, is initially at rest. Knowing that 0 = 30° and that the coefficient of restitution between the sphere and the wedge is e = 0.80, determine the velocities of the sphere and of the wedge immediately after the impact. A en へ 3ミ - + è. = usá-262, こ NAO ex AD VAO NAI Vo こ В VBi et + V81 30° こ BI -o.866 V8l ex - 0.S Ver en it VA」こ Va くク く。