Phy Q5- Cartesian Vectors

What is the correct Cartesian vector form of vector F if its z-component, x-component and y-component are -3m, 5m and -4m respectively?

• (5m)i + (-4m)j + (-3m)k

• (-3m)i + (5m)j + (-4m)k

• (-3m)i + (-4m)j + (5m)k

• (3m)i + (5m)j + (4m)k

What is the angle created by vector F,from the x-axis ( 

$\alpha$  )  , whose x-component, y-component and z-component are (8N)i, (0N)j,  and (-6N)k respectively?

• 36.9 degrees

• 90.0 degrees

• 53.1 degrees

• 126.9 degrees

What is the angle from the y-axis ( $\beta$ ) created by vector F whose x-component, y-component and z-component are (8N)i, (0N)j,  and (-6N)k respectively?

• 36.9 degrees

• 90.0 degrees

• 53.1 degrees

• 0.0 degree

What is the angle created by vector F, from the z-axis ( $\gamma$ ) , whose x-component, y-component and z-component are (8N)i, (0N)j,  and (-6N)k respectively?

• 36.9 degrees

• 90.0 degrees

• 53.1 degrees

• 126.9 degrees

What is the magnitude  vector F whose x-component, y-component and z-component are (8N)i, (0N)j,  and (-6N)k respectively?

• 3.7 N

• 14 N

• 10.0 N

• 5.3 N

What is the z-component along +k direction of vector B if its  magnitude is 100 N , its α is 120° and its β is 45°? 

• 50 N

• -50 N

• 71 N

• 0 N

What is the angle measured from the y-axis ( $\beta$ ) that is created by vector D if its α is 21.8° and its β is 77.6°? 

• 72.4 degrees or 107.6 degrees

• 1.0 degree or 98.2 degrees

• 73.9 degrees or 106.1 degrees

• 67.8 degrees or 112.2 degrees

What is the z-component of vector F in the figure shown?

• (250 N) k

• (-250 N) k

• (433 N) k

• (-433 N) k

What is the cartesian vector form of F1 in the figure shown?

• (0N)i + (400N)j + (300N)k

• (0N)i + (300N)j + (400N)k

• (400N)i + (0N)j + (300N)k

• (300N)i + (0N)j + (400N)k

What is the x-component of vector F2 in the figure shown?

• (489.9 N)i

• (282.8 N)i

• (565.7 N)i

• (692.8 N)i