58. The horizontal component of vector ā is equal to the vertical component of vector b. If 30° is the angle made by vector a with its horizontal axis that made by vector b with its vertical axis, then calculate the value of b in terms of a.
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Dear student,
It is given that the horizontal component of vector ā is equal to the vertical component of vector b implying;
a cos∅ = b cos∅ __(1)
Also, given that 30° is the angle made by vector a with its horizontal axis that made by vector b with its vertical axis.
We are required to calculate the value of b in terms of a. So, the value of b in terms of a could be written as;
a cos 30° = b cos 30°
b = a
[The question seems a bit different to me. I have answered with the best possible and correct answer I can. Please let me know if you have any problem with the answer]
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