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Question 20 marks
We have two vectors V1 = (1, 2, 3) and V2 = (4, 5, 6).
Using these vectors evaluate the following.
1. V1norm =? 6 marks
2. V1 + V2 =? 2 mark
3. V1.V2 =? 4 marks
4. V1 X V2 =? 8 marks
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+ Click Here to Search (Looking For something at vustudents.ning.com?) + Click Here To Join (Our facebook study Group)today is last date anyone solved it or any ideas....
ANy ideas or solution cz today last date.
check out the page no 109 and 110 of hand outs in pdf version
aoa...also check pg#111 for the last question...regards
thnx
This is idea solution so do your own....
Question 20 marks
We have two vectors V1 = (1, 2, 3) and V2 = (4, 5, 6).
Using these vectors evaluate the following.
V1norm =? 6 marks
Solution:
V1 = <1, 2,3>
||v1|| = sqrt[(1* 1) + (2 * 2) + (3* 3)] = sqrt (1 + 4 + 9) = 3.74 approx
A unit vector is a vector with a length of 1. Normalizing a vector converts a vector to a unit vector. To normalize a
vector, divide each component by its length. Let’s normalize the vector from the previous example.
u = < 1/3.74, 2/3.74, 3/3.74> = <.267, .534, .802>
V1 + V2 =? 2 mark
Solution:
v1 + v2 = <1 + 4, 2 + 5, 3 + 6> = <5, 7, 9>
V1.V2 =? 4 marks
Solution:
v1 . v2 = (1 * 4) + (2 * 5) + (3 * 6)
=(4+10+18)
=32
V1 X V2 =? 8 marks
Solution:
v1 = <1, 2, 3> v2 = <4, 5, 6>
x3 = (2 * 6) – (3 * 5) = 18 – 15 = 3
y3 = (3 * 4) – (1 * 6) = 12 – 6 =6
z3 = (1 * 5) – (2* 4) = 5 – 8 = -3
v1 X v2 = <3, 6, -3>
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