Question

if Abar=3i-4jand Bbar=-i-4j, calculate the direction of Abar-Bbar
1:tan to the power minus1(4)with +x axis in clock wise
2:tan to the power minus 1(4)with -x axis in clock wise
3:tan to the power minus 1(4) with+x axis in anti clock wise
4:tan to the power minus 1(4) with -x axis in anti clock wise​

Answer 1

A = 3i - 4j

B = -i - 4j

A - B = (-1 - 3)i + (-4 - (-4))j

A - B = -4i + 0j = -4i

Hence ( A - B ) vector lies on the negative x axis.

Therefore direction of A - B =

$tan^{ - 1}(4)$

With negative x axis anticlockwise.