Express each vector as a product of its length and direction.
16–√i−16–√j−16–√k

Question:

Express each vector as a product of its length and direction.

Step-by-step explanation:

A vector v can be expressed as a product of its length and direction as follows;

v = |v| u

Where;

|v| = length/magnitude of v

u = unit vector in the direction of v

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Let the given vector be v, i.e

(i) The length/magnitude |v| of vector v is therefore,

|v| =

|v| =

|v| =

|v| =

|v| =

(ii) The unit vector u in the direction of vector v, is therefore,

u =

Therefore, the vector can be expressed as a product of its length and direction as:

|v| u =

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step-by-step explanation: