Question

The vector ?⃗ is directed 30° clockwise off the positive y-axis with magnitude 2. Draw this vector. Express ?⃗ in component form and in the form ??⃗ + ??⃗. Make sure your calculator is configured for degrees.

Answer 1

Given that magnitude of vector a = |a| = 2

Direction of vector a = 30 deg clockwise off the positive y-axis

Part A.

Part B.

Now in component form:

a_x = x component of vector a = |a|*sin = 2*sin 30 deg = 1

a_y = y component of vector a = |a|*cos = 2*cos 30 deg = 1.732

In component form:

a = x i + y j = 1 i + 1.732 j

a = 1 i + 1.732 j

Let me know if you've any query.