Find the length of each vector below.
1 answer:
Answer:
a. 3.6 units
b. 1.4 units
c. 3.6 units
d. 6.1 units
Explanation:
The length of a vector is given by the following formula:
Length = √(x² + y²)
where,
x = x-component of vector
y = y-component of vector
a.
Here,
x = 2
y = 3
Therefore,
Length = √(2² + 3²)
Length = √13
<u>Length = 3.6 units</u>
<u />
b.
Here,
x = 1
y = 1
Therefore,
Length = √(1² + 1²)
Length = √2
<u>Length = 1.4 units</u>
<u />
c.
Here,
x = 2
y = -3
Therefore,
Length = √(2² + (-3)²)
Length = √13
<u>Length = 3.6 units</u>
<u />
d.
Here,
x = 1
y = -6
Therefore,
Length = √(1² + (-6)²)
Length = √37
<u>Length = 6.1 units</u>
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