Three vectors: A, B and C have the following x and y components: X components (A

Question

Three vectors: A, B and C have the following x and y components: X components (A, B and C respectively): +6, -3, +2 Y components (A, B and C respectively): -3, +4, +5 The angle that the resultant makes with the positive direction of the x axis is:
Three vectors: A, B and C have the following x and y components: X components (A, B and C respectively): +6, -3, +2 Y components (A, B and C respectively): -3, +4, +5 The angle that the resultant makes with the positive direction of the x axis is:
X components (A, B and C respectively): +6, -3, +2 Y components (A, B and C respectively): -3, +4, +5 The angle that the resultant makes with the positive direction of the x axis is:

Explanation / Answer

simply sum the components

x-comp = 6 - 3 +2 = 5 in +ve x-direction
y-comp = -3.00+4.00+5.00 = 6 in +ve y-direction

magnitude = sqrt(5^2 + 6^2) = 7.81
direction = tan^-1(6/5) = 50.19 degrees

=0.278* pi rad or 0.875 rad

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