1 THIS IS SEPARATE. EACH QUESTION STARTS WITH A GRAY BOX

Calculate Dot Product Let a = and b = . Find & so that a and b will be orthogonal (form a 90 degree angle). k =\fCalculate Dot Product Let v = 1i + 5j and w = li + 3j. Find an exact number c so that w - cv is perpendicular to v. CFind Angle between two vectors Let a = ( - 4, - 1, 2) and b = (5, - 5, - 1). Find the angle between the vector 1) The exact angle is cos 2) The approximation in radians isLet a = ( - 5, 1, - 2) and b = (1, 5, 3). Find the angle between the vector 1) The exact angle is cos - 1 2) The approximation in degree is