IIT-JEE Physics Daily Practice Problems

The vector joining the points A (1, 1, –1) and B (2, –3, 4) & pointing from A to B is -

If the directions of vectors a and b are interchanged, then the resultant will have the same:

The vector sum of the forces of 10 N and 6 N can be:

Given: C = A + B. The angle between A and B is:

The sum and difference of two perpendicular vectors of equal lengths are:

Three non-zero vectors A, B, and C satisfy the relation A.B = 0 & A.C = 0. Then A can be parallel to:

The angle between two vectors with a scalar product of 8 and a vector product of 8√3 is:

Which of the following sets of displacements might be capable of bringing a car to its returning point?

If vector A points vertically downward & vector B points towards east, then the vector product A x B is:

Given: a + b + c = 0. If two of the vectors are equal in magnitude, the angles between the vectors are:

A fly starting at one corner of a hall measuring 10 m × 12 m × 14 m ends up at a diametrically opposite corner. The magnitude of its displacement is nearly:

In Figure, E + D - C equals...

Vector Operations and Properties

The vector from point A (1, 1, -1) to point B (2, -3, 4) is calculated by subtracting the coordinates, resulting in: î + 4ĵ + 5k̂.
The resultant vector of two vectors a and b, inclined at an angle θ, changes when their directions are interchanged; however, the magnitude remains the same.

Resultant Forces and Magnitudes

Vector sum of forces can vary based on direction:
- Example: Forces of 10 N and 6 N can yield resultant values of 2 N, 8 N, 18 N, or 20 N depending on the angle between them.
Given magnitudes A (12), B (5), and C (13), the angle between A and B can be derived from the law of cosines.

Vector Relations and Properties

The sum and difference of two perpendicular vectors of equal lengths yields resultant vectors that are also perpendicular and of equal length.
For three non-zero vectors A, B, and C, if A is perpendicular to both B and C (A·B = 0 and A·C = 0), A may be parallel to the cross product of B and C.

Scalar and Vector Product

The magnitude of the scalar product of two vectors being 8 and the vector product being (8\sqrt{3}) leads to the calculation of the angle between them—possible angles include 30º, 60º, 120º, or 150º.

Displacement and Return Points

A set of displacements that returns the car to its starting point must satisfy the triangle inequality.
Example displacements to check include various combinations varying from 5 km to 200 km.

Vector Direction and Cross Product

A vector A pointing downward and vector B pointing east results in a vector product A × B that is directed west.

Equality of Vectors

In a closed triangle formation (a + b + c = 0), when two vectors are of equal magnitude and the third vector's magnitude is double, the angles between them can vary; possible configurations include angles of 90º, 135º, and 60º.

Displacement in Three-Dimensional Space

The displacement magnitude from one corner of a hall with dimensions 10 m × 12 m × 14 m to the opposite corner can be calculated using the Pythagorean theorem, resulting in a magnitude close to 17 m.

Enhance your IIT-JEE preparation with these daily practice problems in physics. Designed by top educators, this quiz covers critical concepts and problem-solving strategies crucial for success in the exam. Test your knowledge and improve your skills with challenging questions that reflect the IIT-JEE syllabus.