Question

Find unit vector along the force f is equal to two ICAP + 2 J cap + K cap

Answer 1

Answer:

Explanation: See eeèee the attachment please

Answer 2

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

Given:

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

To Find:

We are required to find the unit vector of the force(f).

Solution:

The formula for the unit vector is given as

f^ = f / | f |  -------(1)

where, f =  (2 i + 2 j+ k) N

| f | = √2²+2²+1²

| f | = √4+4+1

| f | = √9

| f | = 3

On substituting the value of vector force(f) and magnitude of force(| F |) in 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.

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