OPERATIONS WITH VECTORS
- Sum of two vectors will also be a vector.
- Difference of two vector is also be a vector.
- Multiplying a scalar by a vector will also produce vector.
Adding Vectors
Example :
Solution :
Subtracting Vectors
Example :
Solution :
Multiplying Scalar
Example :
Solution :
Problem 1 :
Find a+b where a=14 and b=25
Solution:
a+b=14+25=1+24+5a+b=39
Problem 2 :
Find c-d where c=42 and d=15
Solution:
c-d=42-15=4-12-5c-d=3-3
Problem 3 :
Find 3u where u=-27.
Solution:
u=-273u=3-273u=-621
Problem 4 :
Find 2a+b where a=-13 and b=46.
Solution:
2a+b=2-13+46=-26+46=-2+46+62a+b=212
Problem 5 :
Find u-2v where u=50 and v=2-3.
Solution:
u-2v=50-22-3=50-4-6=5-40+6u-2v=16
Problem 6 :
Find 4b+2c where b=34 and c=-15.
Solution:
4b+2c=434+2-15=1216+-210=12-216+104b+2c=1026
Problem 7 :
Find -2a+b where a=37 and b=6-2.
Solution:
-2a+b=-237+6-2=-6-14+6-2=-6+6-14-2-2a+b=0-16
Problem 8 :
Find a-2b where a=34 and b=13.
Solution:
a-2b=34-213=34-26=3-24-6a-2b=1-2
Problem 9 :
Find 4u-3v where u=45 and v=23.
Solution:
4u-3v=445-323=1620-69=16-620-94u-3v=1011
Problem 10 :
Find a+b+c where a=-23, b=45 and c=6-7.
Solution:
a+b+c=-23+45+6-7=-2+4+63+5-7=81
Problem 11 :
Find 2u+v-3w where u=43, v=0-1 and w=22.
Solution:
2u+v-3w=243+0-1-322=86+0-1-66=8+0-66-1-6=2-1
Problem 12 :
Find a+2b-3c where a=2522, b=23 and c=45.
Solution:
a+2b-3c=2522+223-345=2522+46-1215=25+4-1222+6-15=1713