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In this lesson, we will learn how to add and subtract vectors.

Q1:

Given that β π΄ = ( 1 , 9 ) and β π΅ = ( β 4 , 1 ) , find β π΄ β β π΅ .

Q2:

Given that β π΄ = ( 3 , 4 ) and β π΅ = ( 7 , 1 ) , find β π΄ β β π΅ .

Q3:

Given that β π΄ = ( 3 , 1 ) and β π΅ = ( 2 , β 1 ) , find β π΄ β β π΅ .

Q4:

Given that β π΄ = ( 7 , β 2 ) and β π΅ = ( β 4 , β 3 ) , find β π΄ β β π΅ .

Q5:

Given that β π΄ = ( β 8 , β 6 ) and β π΅ = ( 2 , 1 0 ) , find β π΄ β β π΅ .

Q6:

Given that β π΄ = ( β 1 0 , β 2 ) and β π΅ = ( β 6 , β 1 ) , find β π΄ β β π΅ .

Q7:

Given that β π΄ = ( β 1 , β 6 ) , β π΅ = ( 6 , 1 ) , and β πΆ = ( 9 , 8 ) , find β π΄ + β π΅ β β πΆ .

Q8:

Given that β π΄ = ( 9 , 5 ) , β π΅ = ( β 1 0 , 3 ) , and β πΆ = ( β 3 , 6 ) , find β π΄ + β π΅ β β πΆ .

Q9:

Given that β π΄ = ( 0 , 3 ) , β π΅ = ( 2 , β 5 ) , and β πΆ = ( 1 0 , 5 ) , find β π΄ β β π΅ β β πΆ .

Q10:

Given that β π΄ = ( β 9 , β 4 ) , β π΅ = ( β 3 , 4 ) , and β πΆ = ( β 1 , β 3 ) , find β π΄ β β π΅ β β πΆ .

Q11:

Given that β π΄ = ( β 2 , 2 ) , β π΅ = ( 5 , 2 ) , and β πΆ = ( β 3 , β 2 ) , find β β π΄ + β π΅ β β πΆ .

Q12:

Given that β π΄ = ( 4 , 1 ) , β π΅ = ( β 2 , β 1 ) , and β πΆ = ( β 3 , 2 ) , find 2 β π΄ + β π΅ + 2 β πΆ .

Q13:

Given that β π΄ = ( 3 , β 2 ) , β π΅ = ( 4 , β 1 ) , and β πΆ = ( β 2 , 0 ) , find β 2 β π΄ + 3 β π΅ β 2 β πΆ .

Q14:

Given that β π΄ = ( β 6 , 3 ) and β π΅ = ( 8 , 7 ) , find β π΄ + β π΅ .

Q15:

Given that β π΄ = ( 5 , 1 ) and β π΅ = ( 3 , 1 ) , find 2 β π΄ β 4 β π΅ .

Q16:

Given that β π΄ = ( 1 , 2 ) and β π΅ = ( β 4 , β 9 ) , find β 2 β π΄ + 5 β π΅ .

Q17:

Given that β π΄ = ( β 1 , β 6 ) and β π΅ = ( β 9 , 4 ) , find β β π΄ β 6 β π΅ .

Q18:

If β β = 5 u and β β = 2 v , what is the smallest that β + β u v could be?

Q19:

Given that β π΄ = ( 9 , β 1 2 ) and β π΅ = ( 1 3 , β 1 ) , find β π΄ + β π΅ .

Q20:

Given that β π΄ = ( 5 , 1 4 ) and β π΅ = ( 4 , 1 1 ) , find β π΄ + β π΅ .

Q21:

Given that β π΄ = ( 8 , 3 ) and β π΅ = ( β 1 0 , β 1 1 ) , find β π΄ + β π΅ .

Q22:

Given that β π΄ = ( 0 , 1 1 ) and β π΅ = ( 6 , 1 0 ) , find β π΄ + β π΅ .

Q23:

Given that β π΄ = ( 4 , β 1 5 ) and β π΅ = ( β 8 , 1 2 ) , find β π΄ + β π΅ .

Q24:

Given that β π΄ = ( β 8 , β 7 ) and β π΅ = ( β 8 , 1 5 ) , find β π΄ + β π΅ .

Q25:

Given that β π΄ = ( β 1 0 , β 1 4 ) and β π΅ = ( β 8 , β 1 2 ) , find β π΄ + β π΅ .

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