If the angle between the vector is , the value of the product is equal to:
1.
2.
3.
4. zero
A vector A points, vertically upward and, B points towards north. The vector product is -
1. along west
2. along east
3. zero
4. vertically downward
The linear velocity of a rotating body is given by , where is the angular velocity and r is the radius vector. The angular velocity of a body, and their radius vector is will be:
1.
2.
3.
4.
If \(\theta\) is the angle between two vectors and , and , then \(\theta\) is equal to:
1. \(0^\circ\)
2. \(180^\circ\)
3. \(135^\circ\)
4. \(45^\circ\)
What is the torque of a force newton acting at a point metre about the origin? (Given: )
1.
2.
3.
4.
The scalar product of two vectors is 8 and the magnitude of vector product is . The angle between them 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 value of the unit vector, which is perpendicular to both A = \(\hat{i} + 2\hat{j} + 3 \hat{k}\) and B = \(\hat{i} - 2\hat{j} - 3 \hat{k}\) :
1.
2.
3.
4.
Which of the following option is not true, if and , where \(\mathrm{A}\) and \(\mathrm{B}\) are the magnitudes of ?
1.
2.
3.
4. \(\mathrm{A}=5\)