Vectors- scalar products - statements true/false

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Homework Help Overview

The discussion revolves around evaluating the truthfulness of seven statements regarding vectors, specifically focusing on identifying which two statements are incorrect. The subject area is vector mathematics, particularly concerning scalar and vector products.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to identify incorrect statements, with some suggesting that statement B is incorrect while others argue it is correct. There is also a debate about the validity of statement D, with differing opinions on vector addition.

Discussion Status

The discussion is ongoing, with multiple interpretations being explored regarding the correctness of the statements. Some participants have offered their views on specific statements, but there is no explicit consensus yet.

Contextual Notes

Participants are navigating assumptions about vector properties, such as the existence of a zero vector and the conditions under which vectors can be added.

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Homework Statement



7 statements about vectors. Which two statements are incorrect?

Question:

A The result of the vector product of two vectors is a scalar quantity.
B A vector can have a magnitude of zero.
C A vector is completely specified by its magnitude and direction.
D Two vectors can only be added if they have the same direction.
E The scalar product of two vectors is a scalar quantity.
F Multiplying all the components of a vector by a constant is equivalent to multiplying the vector by that constant.
G Given a vector’s magnitude and direction, its components can always be calculated.

Homework Equations





The Attempt at a Solution



statement B is incorrect and D i think.
as vectors cannot have magniute of zero and vectors in different directions can be added.
 
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A and D are incorrect.
B is correct as 0 vector exists
 
anybody else agree
 
You're going to get the answer by popular vote?? What do you think about the proposed two answers and why?
 

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