Question

The unit vector along the force "F" = (2 i + 2 j+ k) N is
(a) 2 i + 2 j + k
(b) 2/3 i + 2/3 j + 1/3 k
(c) 1/√3 ( i + j + k)
(d) i + j + k

Answer 1

Answer:

Option A is the correct answer...

Explanation:

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Answer 2

The unit vector of the force(F) is 2/3 i + 2/3 j + 1/3 k.

Option(b) is the correct answer.

Given:

F = (2 i + 2 j+ k) N

To Find:

The unit vector of the force.

Solution:

We are required to find the unit vector of the force.

• The unit vector has a magnitude of 1.

• A unit vector is used to indicate the direction of the vector.

• A unit vector is indicated by the symbol cap above the vector.

The formula of unit vector of the force is given as

⇒F^ = F / | F |  -------(1)

F =  (2 i + 2 j+ k) N

| F | = √2²+2²+1²

| F | = √4+4+1

| F | = √9

| F | = 3

Substituting the value of vector force(F) and magnitude of force(| F |) in the equation(1) we get

F^  = (2 i + 2 j+ k)/3

F^ = 2/3 i + 2/3 j + 1/3 k

Therefore, The unit vector of the force(F) is 2/3 i + 2/3 j + 1/3 k.

Hence, Option(b) is the correct answer.

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