elements of Vectors

Three concurrent forces of magnitudes 500N, 600N and 0.75 kN act at a point O as shown in the figure along OU, OV and OW respectively where, U is at (3, 2, 2), V is (0, 7, 8) and W is (-4, -2, -3). Which on gives the component of Force acting in OU?

• 363.80i+242.54j+242.54k

• 245.78i+169.80j+169.32k

• 189.57i+142.23j+142.23k

• 442.88i+391.67j+1391.67k

• NONE OF THE CHOICS

Three concurrent forces of magnitudes 500N, 600N and 0.75 kN act at a point O as shown in the figure along OU, OV and OW respectively where, U is at (3, 2, 2), V is (0, 7, 8) and W is (-4, -2, -3). Give the component of F₂ in vector form(answer in 2 decimal places)?

Given three forces of magnitudes 300N, 400N, and 500N acting at a point and making angles of 45°, 60°, and 90° with the x-axis respectively, what is the magnitude of the resultant force?

• 1428N

• 1523N

• 942N

• 1136N

• NONE OF THE CHOICES

Four concurrent forces of magnitudes 600N, 700N, 800N, and 900N act at a point O as shown in the figure along OA, OB, OC, and OD respectively. What is the component of the force acting in the direction of OB?

• 490.00i+490.00j+490.00k

• 560.00i+560.00j+560.00k

• 630.00i+630.00j+630.00k

• 700.00i+700.00j+700.00k

• NONE OF THE CHOICES

Five forces of magnitudes 100N, 200N, 300N, 400N, and 500N act at a point and make angles of 15°, 30°, 45°, 60°, and 75° with the x-axis respectively. What is the magnitude of the resultant force?

• 1248N

• 1357N

• 1423N

• 1567N

• NONE OF THE CHOICES