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A vector has component along the X-axis ...

A vector has component along the X-axis equal to 25 unit and along the Y-axis equl to 60 unit. Find the magnitude and direction of the vector.

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To find the magnitude and direction of the vector with components along the X-axis and Y-axis, we can follow these steps: ### Step 1: Identify the Components The components of the vector are given as: - \( A_x = 25 \) units (X-axis component) - \( A_y = 60 \) units (Y-axis component) ### Step 2: Calculate the Magnitude of the Vector ...
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Knowledge Check

  • hati and hatj are unit vectors along x and y axis. What is the magnitude and direction of the vector hati + hatj ?

    A
    `1.414, 45^(@)`
    B
    `1.732, 45^(@)`
    C
    `1.850, 30^(@)`
    D
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  • If a vector has an x-component of -250units and a y-component of 40.0 units, then the magnitude and direction of this vector is

    A
    `5sqrt(89)` units, `sin^(-1)((5)/sqrt(89))` with +ve-x-axis
    B
    `5sqrt(89)` units, `cos^(-1)((5)/sqrt(89))` with -ve-x-axis
    C
    45 units, `cos^(-1)((-5)/(9))` with x-axis
    D
    45 units, `sin^(-1)((-5)/(9))` with x-axis

  • Assertion - Component of A along B is equal to component of B along A. Reason value of component is always less then the magnitude of vector .

    A
    If both Assetion and Reason are correct but Reason is the correct explanation of Assertion.
    B
    If both Assetion and Reason are correct but Reason is not the correct explanation of Assertion.
    C
    If Asserion is true but Reason is false
    D
    If Asserion is false but Reason is true

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