Question

, (20 %) If a-|-1,21,6-p.-2, draw 1+5 and 6-6 with head at C(1,-3). Label the coordinates for the talil of each of the two resulting vectors.

Answer 1

Given that a^= [-1, 2] b^= [3, -2] Here a^,b^are two dimensional vectors Now let i^- , j^- be the two unit vectors on the two co-ordinate axes x and y - axes respectively. Then we can write a^and b^as a^= -i^- + 2j^- b^= 3i^- - 2j^- Then we have a^+ b^= (-i^- + 2j^-) + (3i^- - 2j^-) = (-1 + 3) i^- + (2 - 2) j^- = 2i^- + 0 j^- = 2i^- + 0j^- and a^- b^= (-i^- + 2j^-) - (3i^- - 2j^-) = (-1 - 3) i^- + (2 + 2) j^- = -4 i^- + 4 j^- = -4 i^- + 4 j^- Now we can plot the resultant vectors in two dimensional plane. \r\n The both tails shown by two circles Also the resultant vector denote by bolded lines Now we shift the vectors a^+ b^