Question

Find the magnitude of the vector 3i - 3j.



6
18

Answer 1

Answer: 3√2

Step-by-step explanation:

Given vector 3i - 3j,

the magnitude is: $\sqrt{(3)^{2} + (-3)^{2}}$

= $\sqrt{9 + 9}$

= $\sqrt{18}$

= $3\sqrt{2}$

Answer 2

v = 3i - 3j

So, magnitude of vector:

|v| = √(3^2 + (-3^2))

|v| = √(9 + 9)

|v| = √(18)

|v| = 3√2

What is the magnitude of vector sum?

This vector sum is called a linear combination of the vectors →i and →j. The magnitude of →v=→ai+→bj is given as |v| = √(a^2 + b^2).

What is the magnitude of vector?

The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|. So basically, this quantity is the length between the initial point and endpoint of the vector.

Learn more about Vectors here

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