Linear Combination of Vectors

GeoGebra Commands & Parameters

1. Segment(H, I) → h
2. Point(h) → M
3. Vector(M) → w_{1}
4. Segment(G, J) → i
5. Point(i) → N
6. Vector(N) → l
7. Point(i) → L
8. Point(h) → K
9. Vector(L) → u
10. Vector(K) → v
11. Line((0, 0), l) → f
12. Line((0, 0), w_{1}) → g
13. Intersect(f, g) → A
14. Sequence(Line[(0, 0) + (l * k), w_{1}], k, -100, 100) → l2, {x = -100, x = -99, x = -98, x = -97, x = -96, x = -95, x = -94, x = -93, x = -92, x = -91, x = -90, x = -89, x = -88, x = -87, x = -86, x = -85, x = -84, x = -83, x = -82, x = -81, x = -80, x = -79, x = -78, x = -77, x = -76, x = -75, x = -74, x = -73, x = -72, x = -71, x = -70, x = -69, x = -68, x = -67, x = -66, x = -65, x = -64, x = -63, x = -62, x = -61, x = -60, x = -59, x = -58, x = -57, x = -56, x = -55, x = -54, x = -53, x = -52, x = -51, x = -50, x = -49, x = -48, x = -47, x = -46, x = -45, x = -44, x = -43, x = -42, x = -41, x = -40, x = -39, x = -38, x = -37, x = -36, x = -35, x = -34, x = -33, x = -32, x = -31, x = -30, x = -29, x = -28, x = -27, x = -26, x = -25, x = -24, x = -23, x = -22, x = -21, x = -20, x = -19, x = -18, x = -17, x = -16, x = -15, x = -14, x = -13, x = -12, x = -11, x = -10, x = -9, x = -8, x = -7, x = -6, x = -5, x = -4, x = -3, x = -2, x = -1, x = 0, x = 1, x = 2, x = 3, x = 4, x = 5, x = 6, x = 7, x = 8, x = 9, x = 10, x = 11, x = 12, x = 13, x = 14, x = 15, x = 16, x = 17, x = 18, x = 19, x = 20, x = 21, x = 22, x = 23, x = 24, x = 25, x = 26, x = 27, x = 28, x = 29, x = 30, x = 31, x = 32, x = 33, x = 34, x = 35, x = 36, x = 37, x = 38, x = 39, x = 40, x = 41, x = 42, x = 43, x = 44, x = 45, x = 46, x = 47, x = 48, x = 49, x = 50, x = 51, x = 52, x = 53, x = 54, x = 55, x = 56, x = 57, x = 58, x = 59, x = 60, x = 61, x = 62, x = 63, x = 64, x = 65, x = 66, x = 67, x = 68, x = 69, x = 70, x = 71, x = 72, x = 73, x = 74, x = 75, x = 76, x = 77, x = 78, x = 79, x = 80, x = 81, x = 82, x = 83, x = 84, x = 85, x = 86, x = 87, x = 88, x = 89, x = 90, x = 91, x = 92, x = 93, x = 94, x = 95, x = 96, x = 97, x = 98, x = 99, x = 100}
15. Point(l2) → B
16. Point(l2) → C
17. Point(l2) → D
18. Point(l2) → E
19. Point(l2) → F
20. Vector((-16, -1)) → c
21. Vector((24, -5)) → d
22. Vector((-1, 17)) → e
23. Sequence(Line[(0, 0) + (w_{1} * k), l], k, -100, 100) → l1, {y = -100, y = -99, y = -98, y = -97, y = -96, y = -95, y = -94, y = -93, y = -92, y = -91, y = -90, y = -89, y = -88, y = -87, y = -86, y = -85, y = -84, y = -83, y = -82, y = -81, y = -80, y = -79, y = -78, y = -77, y = -76, y = -75, y = -74, y = -73, y = -72, y = -71, y = -70, y = -69, y = -68, y = -67, y = -66, y = -65, y = -64, y = -63, y = -62, y = -61, y = -60, y = -59, y = -58, y = -57, y = -56, y = -55, y = -54, y = -53, y = -52, y = -51, y = -50, y = -49, y = -48, y = -47, y = -46, y = -45, y = -44, y = -43, y = -42, y = -41, y = -40, y = -39, y = -38, y = -37, y = -36, y = -35, y = -34, y = -33, y = -32, y = -31, y = -30, y = -29, y = -28, y = -27, y = -26, y = -25, y = -24, y = -23, y = -22, y = -21, y = -20, y = -19, y = -18, y = -17, y = -16, y = -15, y = -14, y = -13, y = -12, y = -11, y = -10, y = -9, y = -8, y = -7, y = -6, y = -5, y = -4, y = -3, y = -2, y = -1, y = 0, y = 1, y = 2, y = 3, y = 4, y = 5, y = 6, y = 7, y = 8, y = 9, y = 10, y = 11, y = 12, y = 13, y = 14, y = 15, y = 16, y = 17, y = 18, y = 19, y = 20, y = 21, y = 22, y = 23, y = 24, y = 25, y = 26, y = 27, y = 28, y = 29, y = 30, y = 31, y = 32, y = 33, y = 34, y = 35, y = 36, y = 37, y = 38, y = 39, y = 40, y = 41, y = 42, y = 43, y = 44, y = 45, y = 46, y = 47, y = 48, y = 49, y = 50, y = 51, y = 52, y = 53, y = 54, y = 55, y = 56, y = 57, y = 58, y = 59, y = 60, y = 61, y = 62, y = 63, y = 64, y = 65, y = 66, y = 67, y = 68, y = 69, y = 70, y = 71, y = 72, y = 73, y = 74, y = 75, y = 76, y = 77, y = 78, y = 79, y = 80, y = 81, y = 82, y = 83, y = 84, y = 85, y = 86, y = 87, y = 88, y = 89, y = 90, y = 91, y = 92, y = 93, y = 94, y = 95, y = 96, y = 97, y = 98, y = 99, y = 100}
24. Textfield(a) → InputBox1
25. Textfield(b) → InputBox2
26. Vector((17, 10)) → n
27. Vector((0, -13)) → q