Six vectors through have the magnitudes and directions indicated in the figure. Which of the following statements is true?
1.
2.
3.
4.
Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is:
1.
2.
3.
4.
and are two vectors and θ is the angle between them. If , then the value of θ will be:
1. 60o
2. 45o
3. 30o
4. 90o
The vectors are such that: .
The angle between the two vectors is:
1. \(90^\circ\)
2. \(60^\circ\)
3. \(75^\circ\)
4. \(45^\circ\)
If vectors and are functions of time. Then, at what value of t are they orthogonal to one another?
1.
2.
3.
4.
A particle moves from a point \(\left(\right. - 2 \hat{i} + 5 \hat{j} \left.\right)\) to \(\left(\right. 4 \hat{j} + 3 \hat{k} \left.\right)\) when a force of \(\left(\right. 4 \hat{i} + 3 \hat{j} \left.\right)\) \(\text{N}\) is applied. How much work has been done by the force?
1. | 8 J | 2. | 11 J |
3. | 5 J | 4. | 2 J |
If a vector () is perpendicular to the vector (), then the value of
1. -1
2.
3.
4. 1
If the angle between the vector is θ, the value of the product is equal to:
1. zero
2. BA2sinθcosθ
3. BA2cosθ
4. BA2sinθ