Operations with Vectors Which, if any, of the following statements are true? Exp

Question

Operations with Vectors Which, if any, of the following statements are true? Explain. (a) Opposite vectors always have opposite magnitudes and are directed along the same line. TrOe Palse (b) The sum of two vectors is also a vector directed in the same direction as one of the vectors being added. Tre False (c) The difference between two vectors is a vector that is always perpendicular to the sum of the two vectors. Trüe False (d) The magnitude of the sum of two vectors always equals the sum of the magnitudes of the vectors being added Fälse e) The magnitude of the product of a vector and a scalar is always larger than the magnitude of the original vector. Trüe False

Explanation / Answer

HI !

Answer to you're question is as follows.

A) FALSE

Two vectors are said to be equal only if they share the same magniture and direction.

A negative vector arises when it points to a direction opposite to the reference direction (which is the postive direction)

B) FALSE

The sum of two vectors is called the resultant vector. Here, the resultant is represented (magnitude and direction) of the diagonal of the paralellogram which the vectors stand in.

C) FALSE

This statement holds true only when the two vectors are equal in magnitude. Only then the sum and difference may be perpendicular,

D) FALSE again

Again this statement does not hold true for all cases. we must know when this can apply

1. Only when two vectors are in the same direction

2. If the two vectors are perendicular to each other

3. If one of the vectors is zero.

E) FALSE

The component of a vector does not have a magnitude larger than the original vector

Hope this answer helps, please feel free to leave a thumbs up !!

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.