Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

If the component of vector A along the direction of vectorBis zero, what can you conclude about the two vectors?

Short Answer

Expert verified

The two vectors are so perpendicular to one another.

Step by step solution

01

Definition of Vector.

In physics, a vector is a quantity with both magnitude and direction.

It's usually represented by an arrow with the same direction as the amount and a length proportionate to the magnitude of the quantity.

02

Concluding the two vectors. 

Along the direction of the vector A, the component of the vectorBis zero. When one of the vectors is zero in the direction of the other, they are said to be perpendicular. The two vectors are so perpendicular to one another.

The representation of the vectors is depicted in the diagram below.

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 Vaia!

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

While exploring a cave, a spelunker starts at the entrance and moves the following distances in a horizontal plane. She goes 75.0mnorth,250m east, 125mat an angle θ=30.0°north of east, and south. Find her resultant displacement from the cave entrance. Figure P3.21 suggests the situation but is not drawn to scale.

Three displacement vectors AandBshown on figure both have magnitudes of 3.00m. The direction of vector Ais θ=30.0. Find graphically

a) A+Bb) A-Bc) B-(2A)d) A-(2B)(Report all angles counterclockwise from the positive x axis.)


A fly lands on one wall of a room. The lower - left corner of the wall is selected as the origin of a two - dimensional Cartesian coordinate system. If the fly is located at the point having coordinates (2.00, 1.00)m,

  1. how far is it from the origin?
  2. What is its location in polar coordinates?

In Figure P3.55, a spider is resting after starting to spin its web. The gravitational force on the spider makes it exert a downward force of 0.150Non the junction of the three strands of silk. The junction is supported by different tension forces in the two strands above it so that the resultant force on the junction is zero. The two sloping strands are perpendicular, and we have chosen the xand ydirections to be along them. The tensionTxis0.127N. Find

(a) the tensionTy,

(b) the angle the x axis makes with the horizontal, and

(c) the angle the y axis makes with the horizontal.

The rectangle shown in Figure P3.56 has sides parallel to the xand yaxes. The position vectors of two corners are A=10.0mat 50.0°andB=12.0mat30.0°

(a) Find the perimeter of the rectangle.

(b) Find the magnitude and direction of the vector from the origin to the upper-right corner of the rectangle.

See all solutions

Recommended explanations on Physics Textbooks

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.

Sign-up for free