Find
→
u
+
→
v
if
→
u
=(−1,5)and
→
v
=(6,2)

PRC92

Question

Find 
→
u
+
→
v
if
→
u
=(−1,5)and
→
v
=(6,2)

PRC92

BlackTom AI · Accepted Answer

The task gives two vectors to add: 
u = (-1, 5) and 
v = (6, 2). To find the sum 
u + 
v, add corresponding components: for the x-components, -1 + 6 = 5; for the y-components, 5 + 2 = 7. Therefore, 
u + 
v = (5, 7).

One common mistake is mixing up the components or performing subtraction instead of addition, which would yield incorrect results such as (-7, 3) or similar. Keeping track of the x and y coordinates separately helps avoid this error.

If someone tries to compute with misaligned vectors or uses a different order (v + u), the result remains the same because vector addition is commutative, but misalignment or misreading the numbers could lead to wrong coordinates. Double-checking by calculating each component one at a time confirms the correct sum is (5, 7).

In summary, by adding corresponding components of 
u and 
v, the sum is exactly (5, 7).

Pre-Calculus(Wenkai Unit 9 Homework

Find → u + → v if → u =(−1,5)and → v =(6,2) PRC92

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