Home
Class 12
MATHS
If veca,vecb,vecc are mutually perpendic...

If `veca,vecb,vecc` are mutually perpendicular vectors of equal magnitudes, show that the vector `veca+vecb+vecc` is equally inclined to `veca,vecb and vecc`.

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-I (Subjective Type Questions)|5 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

If veca,vecb,vecc are mutually perpendicular vectors of equal magnitude show that veca+vecb+vecc is equally inclined to veca, vecb and vecc

if veca,vecb and vecc are mutally perpendicular vectors of equal magnitudes, then find the angle between vectors and veca+ vecb+vecc .

If veca , vecb , vecc are three mutually perpendicular unit vectors, then prove that ∣ ​ veca + vecb + vecc | ​ = sqrt3 ​

If veca,vecb,vecc are three mutually perpendicular vectors, then the vector which is equally inclined to these vectors is (A) veca+vecb+vecc (B) veca/|veca|+vecb/|vecb|+vec/|vecc| (C) veca/|veca|^2+vecb/|vecb|^2+vecc/|vecc|^2 (D) |veca|veca-|vecb|vecb+|vecc|vecc

If veca,vecb and vecc are three mutually perpendicular unit vectors and vecd is a unit vector which makes equal angle with veca,vecb and vecc , then find the value of |veca+vecb+vecc+vecd|^(2) .

Let veca vecb and vecc be pairwise mutually perpendicular vectors, such that |veca|=1, |vecb|=2, |vecc| = 2 , the find the length of veca +vecb + vecc .

Let veca vecb and vecc be pairwise mutually perpendicular vectors, such that |veca|=1, |vecb|=2, |vecc| = 2 , the find the length of veca +vecb + vecc .

Statement 1: veca, vecb and vecc arwe three mutually perpendicular unit vectors and vecd is a vector such that veca, vecb, vecc and vecd are non- coplanar. If [vecd vecb vecc] = [vecdvecavecb] = [vecdvecc veca] = 1, " then " vecd= veca+vecb+vecc Statement 2: [vecd vecb vecc] = [vecd veca vecb] = [vecdveccveca] Rightarrow vecd is equally inclined to veca, vecb and vecc .

if veca, vecb and vecc are there mutually perpendicular unit vectors and veca ia a unit vector then find the value of |2veca+ vecb + vecc |^2

If veca,vecb and vecc are three vectors of which every pair is non colinear. If the vector veca+vecb and vecb+vecc are collinear with the vector vecc and veca respectively then which one of the following is correct? (A) veca+vecb+vecc is a nul vector (B) veca+vecb+vecc is a unit vector (C) veca+vecb+vecc is a vector of magnitude 2 units (D) veca+vecb+vecc is a vector of magnitude 3 units