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What is the direction of a unit vector ?...

What is the direction of a unit vector ?

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To determine the direction of a unit vector, we can follow these steps: ### Step 1: Understand the Definition of a Vector A vector is a quantity that has both magnitude and direction. For example, consider a vector **A** represented as: \[ \mathbf{A} = x \hat{i} + y \hat{j} \] where \( x \) and \( y \) are the components of the vector along the x-axis and y-axis, respectively, and \( \hat{i} \) and \( \hat{j} \) are the unit vectors in the x and y directions. ### Step 2: Calculate the Magnitude of the Vector ...
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What is a unit vector ?

Knowledge Check

  • If hatn is a unit vector in the direction of the vector vecA , then:-

    A
    `hatn=(vecA)/(|vecA|)`
    B
    `hatn=vecA|vecA|`
    C
    `hatn=(|vecA|)/(vecA)`
    D
    `hatn=hatnxxvecA`
  • If hatn is a unit vector in the direction of the vector vecA , them :

    A
    `hatn = vecA//|vecA|`
    B
    `hatn = vecA|vecA|`
    C
    `hatn = |vecA|//vecA`
    D
    `hatn = vecn xx vecn`
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