Uestion 3 the position vectors of three points a, b and c with respect to a fixed origin o are (2,-2, 1), (4, 2, 1) and (1, 1, 3) respectively (a) write down unit vectors in the direction of lines ca and cb and calculate the of angle acb, in degrees, to 1 decimal place. (b) the midpoint of ab is m. find a vector equation of straight line passing through c and m (c) show that ab and cm are perpendicular. (d) find the position vector of point n on the line cm such that angle

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music.they were asked how they like three types of music: rock, country western and jazz.the results are summarized below: no one dislikes all three types of music.six like all three types of music.eleven don’t like country western.sixteen like jazz.three like country western and jazz, but not rock.six don’t like rock.eight like rock and country western.seven don’t like jazz.how many students were surveyed?