Question

A vector=-9i-4j+3k and B vector = ai +bj+ck and A vector - B vector = 4i-3j -5k so find a,b and c. ​

Answer 1

Answer:

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Explanation:

Chapter 8

Vectors and Scalars

8.1 Introduction:

In this chapter we shall use the ideas of the plane to develop a new

mathematical concept, vector. If you have studied physics, you have

encountered this concept in that part of physics concerned with forces and

equilibrium.

Physicists were responsible for first conceiving the idea of a

vector, but the mathematical concept of vectors has become important in

its own right and has extremely wide application, not only in the sciences

but in mathematics as well.

8.2 Scalars and Vectors:

A quantity which is completely specified by a certain number

associated with a suitable unit without any mention of direction in space is

known as scalar. Examples of scalar are time, mass, length, volume,

density, temperature, energy, distance, speed etc. The number describing

the quantity of a particular scalar is known as its magnitude. The scalars

are added subtracted, multiplied and divided by the usual arithmetical

laws.

A quantity which is completely described only when both their

magnitude and direction are specified is known as vector. Examples of

vector are force, velocity, acceleration, displacement, torque, momentum,

gravitational force, electric and magnetic intensities etc. A vector is

represented by a Roman letter in bold face and its magnitude, by the same

letter in italics. Thus V means vector and V is magnitude.

8.3 Vector Representations:

A vector quantity is represented by a straight line segment, say

. The arrow head indicate the direction from P to Q. The length of the

Vector represents its magnitude. Sometimes the vectors are represented by

single letter such as V or . The magnitude of a vector is denoted by |V|

or by just V, where | | means modulus of which is a positive value

Fig. 1