Figure shows the orientation of two vectors u and v in the XY plane.
Which of the following is correct?
1. a and p are positive while b and q are negative
2. a, p, and b are positive while q is negative
3. a, q, and b are positive while p is negative
4. a, b, p, and q are all positive
The component of a vector r along the X-axis will have the maximum value if-
1. r is oriented along the positive Y-axis
2. 3r is oriented along the positive X-axis.
3. r makes an angle of 45o with the X-axis
4. r is along the negative Y-axis
Which of the following is not possible?
1. sin θ = \(3\over5\)
2. sec θ = 100
3. cosec θ = 0.14
4. None of the above
If is right-angled at C, then the value of cos (A + B) is
1. 0
2. 1
3.
4.
If the angle between the vector is θ, the value of the product is equal to:
1. zero
2. BA2sinθcosθ
3. BA2cosθ
4. BA2sinθ
When vector intersects the Y-axis, it forms an angle of
1.
2.
3.
4.
The scalar and vector product of two vectors, and is equal to:
1. -25 &
2. 25 &
3. 0 &
4. -25 &
Three vectors A, B, and C add up to zero. Then:
1. | vector (A×B)×C is not zero unless vectors B and C are parallel. |
2. | vector (A×B).C is not zero unless vectors B and C are parallel. |
3. | if vectors A, B and C define a plane, (A×B)×C is in that plane. |
4. | (A×B).C = |A||B||C| → C2 = A2 + B2 |
The incorrect statement/s is/are:
1. (b, d)
2. (a, c)
3. (b, c, d)
4. (a, b)
The vector sum of two forces is perpendicular to their vector difference. In that case, the forces:
1. are not equal to each other in magnitude.
2. cannot be predicted.
3. are equal to each other.
4. are equal to each other in magnitude.