5
(a)
Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.Whe...
![subject](/tpl/images/cats/mat.png)
Mathematics, 09.01.2021 16:00 katier9407
5
(a)
Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.When does
equality occur? Explain your reasoning.
[3]
(b)
Show that if x and y are non-zero parallel vectors, then X×Y=0.
[2]
(c)
Referred to the origin o, points A and B have position vectors a and b respectively. Let C be a
variable point with position vector 2(a - b). Show that the area of AABC is independent of 2. [2]
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