Question

A vector A = 4i – 3j. The unit vector of A is equal to?

Answer 1

Answer:

(4/25)i - (3/25) j

Explanation:

Unit vector = acap = a vector/|a|

= (4i-3j)/25

Answer 2

Concept:

• Vectors are physical quantities that have both magnitude and direction
• By convention, 'i' refers to the x-axis and 'j' refers to the y-axis

• A unit vector is a vector which has a magnitude of 1
• To calculate the unit vector, we have to divide the given vector by its magnitude
• To find the magnitude of the given vector, we must use vector addition

Given:

• A = 4i-3j
• The vector A is 4 units to the right of the origin and 3 units below the origin

Find: We have to find the unit vector of A

Solution:

• Calculate the magnitude of vector A

                                              |A| = $\sqrt{4^{2} + 3^{2} }$

                                              |A| = 5

• Divide the vector A by its magnitude which is 5

Therefore, the unit vector is (4i-3j)/5 = 4/5i -3/5j

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