/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.3CQ What do vectors and scalars have... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q.3CQ (page 118)

What do vectors and scalars have in common? How do they differ?

Short Answer

Expert verified

The similarity between vectors and scalars is that both have magnitudes with units. The difference between vectors and scalars is that vectors have direction, but scalars don鈥檛, and the resultant of two vector quantities can be zero under certain conditions, but two scalars can never add up to zero.

Step by step solution

01

Physical quantity

The physical property of a material such as its mass, length, etc., that can be quantified is known as a physical quantity.It can be expressed as a numerical value and a unit.

A physical quantity is classified further as either a vector or a scalar quantity.

02

Similarity between a vector and a scalar  

Both vector and scalar quantities have numerical values (magnitudes) and units.

03

Difference between a vector and a scalar

A vector quantity possesses both magnitude with unit and direction, but a scalar quantity only has magnitude with unit.

The vector quantities can be added or subtracted according to the vector law of addition; so, the resultant of two vector quantities can be zero under certain conditions, but scalar quantities can only be added or subtracted with ordinary algebraic laws, so two scalar quantities can never add up to zero.

Hence, the difference between vectors and scalars is that vectors have direction, but scalars don鈥檛, and the resultant of two vector quantities can be zero under certain conditions, but two scalars can never add up to zero.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the standing broad jump, one squats and then pushes off with the legs to see how far one can jump. Suppose the extension of the legs from the crouch position isx=0.600m and the acceleration achieved from this position is1.25times the acceleration due to gravity, g. How far can they jump? State your assumptions. (Increased range can be achieved by swinging the arms in the direction of the jump.)

Suppose a soccer player kicks the ball from a distance 30 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 40潞above the horizontal.

An arrow is shot from a height of \(1.5{\rm{ m}}\) toward a cliff of height \(H\). It is shot with a velocity of \(30{\rm{ m}}/{\rm{s}}\) at an angle of \(60^\circ \) above the horizontal. It lands on the top edge of the cliff \(4.0{\rm{ s}}\) later.

(a) What is the height of the cliff?

(b) What is the maximum height reached by the arrow along its trajectory?

(c) What is the arrow's impact speed just before hitting the cliff?

You drive \(7.50{\rm{ km}}\) in a straight line in a direction \(15^\circ \) east of north.

(a) Find the distances you would have to drive straight east and then straight north to arrive at the same point. (This determination is equivalent to find the components of the displacement along the east and north directions.)

(b) Show that you still arrive at the same point if the east and north legs are reversed in order.

A projectile is launched at ground level with an initial speed of50.0m/sat an angle of30.0oabove the horizontal. It strikes a target above the ground3.00seconds later. What are the x and y distances from where the projectile was launched to where it lands?
See all solutions

Recommended explanations on Physics Textbooks

Magnetism

Read Explanation

Oscillations

Read Explanation

Medical Physics

Read Explanation

Modern Physics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Engineering Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.