Mathematics
Grade 12
45 min
Linear combinations of vectors
Tutorial Preview
1
Find 2u + 3v for u = <1, 2> and v = <3, -1>.
2
Find 4a - 2b for a = <0, 5> and b = <-2, 3>.
3
Find c + 2d - e for c=<1,1>, d=<2,0>, e=<0,5>.
Sample Practice Questions
Easy
Given vectors u = <2, 1> and v = <1, 3>, what is the resultant vector of 2u + v?
0.<5, 5>
1.<3, 4>
2.<4, 2>
3.<6, 5>
Easy
Given vectors a = <4, 2> and b = <1, 1>, what is the resultant vector of 3a - b?
0.<11, 5>
1.<3, 1>
2.<12, 6>
3.<13, 7>
Easy
Find c + d + e for c=<1,0>, d=<0,1>, and e=<1,1>.
0.<2, 2>
1.<1, 2>
2.<2, 1>
3.<1, 1>
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