1. Consider the vectors ū = (-1, –1), ở = (1,2) and w = (3, a). | (a) Find the resultant of u and u. (b) Find the values of a for which i is parallel or is perpendicular to w. (c) Calculate the angle...


1.<br>Consider the vectors ū<br>= (-1, –1), ở = (1,2) and w = (3, a).<br>|<br>(a) Find the resultant of u and u.<br>(b) Find the values of a for which i is parallel or is perpendicular to w.<br>(c) Calculate the angle between u and v.<br>(d) If A, B and C are points with position vectors ū, i and w (with respect to the origin<br>(0,0,0)), respectively, find a point D so that [ABCD] gives a parallelogram (with<br>vertices labelled clockwise).<br>6.<br>

Extracted text: 1. Consider the vectors ū = (-1, –1), ở = (1,2) and w = (3, a). | (a) Find the resultant of u and u. (b) Find the values of a for which i is parallel or is perpendicular to w. (c) Calculate the angle between u and v. (d) If A, B and C are points with position vectors ū, i and w (with respect to the origin (0,0,0)), respectively, find a point D so that [ABCD] gives a parallelogram (with vertices labelled clockwise). 6.

Jun 04, 2022
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