English
Karnataka Board PUCPUC Science Class 11

A Vector → a Points Vertically Upward and → B Points Towards the North. the Vector Product → a × → B is - Physics

Advertisements
Advertisements

Question

A vector \[\vec{A}\] points vertically upward and \[\vec{B}\] points towards the north. The vector product \[\vec{A} \times \vec{B}\] is

Options

  • along the west

  • along the east

  • zero

  • vertically downward.

MCQ
Advertisements

Solution

along the west 

The vector product  \[\vec{A} \times \vec{B}\] will point towards the west. We can determine this direction using the right hand thumb rule.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Physics and Mathematics - MCQ [Page 28]

APPEARS IN

HC Verma Concepts of Physics Vol. 1 [English] Class 11 and 12
Chapter 2 Physics and Mathematics
MCQ | Q 5 | Page 28

RELATED QUESTIONS

Some of the most profound statements on the nature of science have come from Albert Einstein, one of the greatest scientists of all time. What do you think did Einstein mean when he said : “The most incomprehensible thing about the world is that it is comprehensible”?


“Politics is the art of the possible”. Similarly, “Science is the art of the soluble”. Explain this beautiful aphorism on the nature and practice of science.


Suppose a quantity x can be dimensionally represented in terms of M, L and T, that is, `[ x ] = M^a L^b T^c`.  The quantity mass


The dimensions ML−1 T−2 may correspond to


Find the dimensions of Planck's constant h from the equation E = hv where E is the energy and v is the frequency.


Let x and a stand for distance. Is
\[\int\frac{dx}{\sqrt{a^2 - x^2}} = \frac{1}{a} \sin^{- 1} \frac{a}{x}\] dimensionally correct?


Can you add three unit vectors to get a unit vector? Does your answer change if two unit vectors are along the coordinate axes?


Let ε1 and ε2 be the angles made by  \[\vec{A}\] and -\[\vec{A}\] with the positive X-axis. Show that tan ε1 = tan ε2. Thus, giving tan ε does not uniquely determine the direction of \[\vec{A}\].

  

Let \[\vec{A} = 5 \vec{i} - 4 \vec{j} \text { and } \vec{B} = - 7 \cdot 5 \vec{i} + 6 \vec{j}\]. Do we have \[\vec{B} = k \vec{A}\] ? Can we say \[\frac{\vec{B}}{\vec{A}}\] = k ?


A vector is not changed if


Which of the sets given below may represent the magnitudes of three vectors adding to zero?


The radius of a circle is stated as 2.12 cm. Its area should be written as


Let \[\vec{C} = \vec{A} + \vec{B}\]


Let \[\vec{A} \text { and } \vec{B}\] be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.


Refer to figure (2 − E1). Find (a) the magnitude, (b) x and y component and (c) the angle with the X-axis of the resultant of \[\overrightarrow{OA}, \overrightarrow{BC} \text { and } \overrightarrow{DE}\].


Let A1 A2 A3 A4 A5 A6 A1 be a regular hexagon. Write the x-components of the vectors represented by the six sides taken in order. Use the fact the resultant of these six vectors is zero, to prove that
cos 0 + cos π/3 + cos 2π/3 + cos 3π/3 + cos 4π/3 + cos 5π/3 = 0.
Use the known cosine values to verify the result.


Let \[\vec{a} = 2 \vec{i} + 3 \vec{j} + 4 \vec{k} \text { and } \vec{b} = 3 \vec{i} + 4 \vec{j} + 5 \vec{k}\] Find the angle between them.


The changes in a function y and the independent variable x are related as 
\[\frac{dy}{dx} = x^2\] . Find y as a function of x.


Write the number of significant digits in (a) 1001, (b) 100.1, (c) 100.10, (d) 0.001001.


High speed moving particles are studied under


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×