मराठी

Two vectors a→=a1i^+a2j^+a3k^ and b→=b1i^+b2j^+b3k^ are collinear if ______. - Mathematics

Advertisements
Advertisements

प्रश्न

Two vectors `veca = a_1 hati + a_2 hatj + a_3 hatk` and `vecb = b_1 hati + b_2 hatj + b_3 hatk` are collinear if ______.

पर्याय

  • a1b1 + a2b2 + a3b3 = 0

  • `a_1/b_1 = a_2/b_2 = a_3/b_3`

  • a1 = b1, a2 = b2, a3 = b3

  • a1 + a2 + a3 = b1 + b2 + b3

MCQ
रिकाम्या जागा भरा

उत्तर

Two vectors `veca = a_1 hati + a_2 hatj + a_3 hatk` and `vecb = b_1 hati + b_2 hatj + b_3 hatk` are collinear if `underlinebb(a_1/b_1 = a_2/b_2 = a_3/b_3)`.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2022-2023 (March) Delhi Set 1

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

If `veca=4hati-hatj+hatk` then find a unit vector parallel to the vector `veca+vecb`


For given vectors,  `veca = 2hati - hatj + 2hatk` and `vecb = -hati  + hatj - hatk`, find the unit vector in the direction of the vector `veca +vecb`.


Find a vector in the direction of vector `5hati - hatj +2hatk` which has a magnitude of 8 units.


Show that the direction cosines of a vector equally inclined to the axes OX, OY, and OZ are `pm1/sqrt3, 1/sqrt3, 1/sqrt3`.


Identify the unit vector in the following.


How do you deduce that two vectors are perpendicular?


The position vector particle has a length of 1m and makes 30° with the x-axis. What are the lengths of the x and y components of the position vector?


If `overlinea`, `overlineb` and `overlinec` are three non-coplanar vectors then `(overlinea + overlineb + overlinec).[(overlinea + overlineb) xx (overlinea + overlinec)]` = ______


If `overline(a),overline(b),overline(c)` are non-coplanar vectors and λ is a real number then `[lambda(overline(a)+overline(b))lambda^2overline(b)  lambda overline(c)]=[overline(a)  overline(b)+overline(c)  overline(b)]` for ______.


If the horizontal and vertical components of a force are negative, then that force is acting in between


Find the vector component of the vector with initial point (2, 1) and terminal point (–5, 7).


If a line makes angles 120° and 60° with the positive directions of X and Z axes respectively then the angle made by the line with positive Y-axis is ______.


If `veca = 4hati + 6hatj` and `vecb = 3hatj + 4hatk`, then the vector form of the component of `veca` along `vecb` is ______.


 Check whether the vectors `2hati +2hatj +3hatk,-3hati +3hatj +2hatk and 3hati + 4hatk` From a triangle or not.


If `4hati - 5hatj + hatk, 2hati + 3hatj + 3hatk` and `xhati + yhatj + zhatk` represent the sides AB, BC and AC respectively of a triangle ABC, then find x, y, z.


Check whether the vectors `2hati + 2hatj+ 3hatk`, `-3hati + 3hatj +2hatk` and `3hati + 4hatk` form a triangle or not.


If `veca = 3hati - 2hatj + hatk` and `vecb = 2hati - 4hatj - 3hatk` then the value of `|veca - 2vecb|` will be ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×