Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Vector Algebra

NDA 2010 · Mathematics · Vector Algebra

Let a, b and c be distinct non-negative numbers. If the vectors a i...

Let a,ba, b and cc be distinct non-negative numbers. If the vectors ai^+aj^+ck^,i^+k^,ci^+cj^+bk^a \hat{i}+a \hat{j}+c \hat{k}, \hat{i}+\hat{k}, c \hat{i}+c \hat{j}+b \hat{k} lie on a plane, then which one of the following is correct?

Options

  1. Acc is the arithmetic mean of aa and bb
  2. Bcc is the geometric mean of aa and bb
  3. Ccc is the harmonic mean of aa and bb
  4. Dcc is equal to zero

Correct answer

B. cc is the geometric mean of aa and bb

Step-by-step solution

The correct answer is option (B).
Practice Vector Algebra on Quantrex Academy →

More from Vector Algebra

Passage: Let a × b = c and b × c = a . Question: Consider the following statements : I. (… NDA 2026Passage: Let a , b , c , a + b , b + c , a + b + c be unit vectors. Question: What is the… NDA 2026Passage: Let a , b , c be unit vectors. Further, a is perpendicular to b ; c makes an… NDA 2026Passage: Let a , b , c , a + b , b + c , a + b + c be unit vectors. Question: What is the… NDA 2026Passage: Let a × b = c and b × c = a . Question: Consider the following statements : I. a… NDA 2026Passage: Let a , b , c be unit vectors. Further, a is perpendicular to b ; c makes an… NDA 2026What is the area of the parallelogram whose sides are represented by the vectors i + 2 j… NDA 2025Let p = a - b , q = a + b . If | a | = | b | = 2 and a · b = 2 , then what is the value… NDA 2025A force F = 2 i - λ j + 5 k is applied at the point A(1, 2, 5) . If its moment about the… NDA 2025ABC is a triangle right-angled at B . If A(k, 1, -1) , B(2k, 0, 2) and C(2+2k, k, 1) are… NDA 2025Consider the following statements in respect of a vector d = ( a × b ) × c : I. d is… NDA 2025The position vectors of three points A , B and C are a , b and c respectively such that 3… NDA 2025The position vectors of three points A , B and C are a , b and c respectively, where c =… NDA 2025Let a , b , ( a × b ) be unit vectors. What is ( a · b ) equal to? NDA 2025Let θ be the angle between two unit vectors a and b . If a +2 b is perpendicular to 5 a… NDA 2024What is 3 α+2 β equal to if (2 i +6 j +27 k ) ×( i +α j +β k ) is a null vector? NDA 2024 Full Vector Algebra list Vector Algebra JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs