Previous Year NEET Question- Vectors

2017:

A vector has components 12p and 2p, along X and Y axes respectively. What is the value of p?

The answer is 1.

We can find the magnitude of the vector by using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the vector itself, and the other two sides are the components of the vector. So, we have:

(12p)^2 + (2p)^2 = 148p^2

We can simplify this equation as:

148p^2 = p^2

148p^2 = p^2

148 = p

Therefore, the value of p is 1.

2018:

A vector is represented by 2i + 3j - k. Find the magnitude of the vector.

The answer is √13.