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CA Foundation Exam  >  CA Foundation Questions  >  If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5)... Start Learning for Free
 If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B is 
  • a)
     {(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}
  • b)
    {(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}
  • c)
    {(2,2), (4,2), (4,4), (4,5)}
  • d)
     {(2,2), (2,4), (4,2), (4,4)}
Correct answer is 'C'. Can you explain this answer?
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Most Upvoted Answer
If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2...
Solution:



Definition: If A = (a1, a2, a3, ..., an) and B = (b1, b2, b3, ..., bn) are two vectors of the same dimension, then the cross product of A and B, denoted by A x B, is the vector given by


A x B = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1)



Given: A = (1,2,3,4,5), B = (2,4) and C = (1,3,5)


To find: (A - C) x B



Steps:

  • Subtract C from A to get (A - C) = (1-1, 2-3, 3-5, 4-0, 5-0) = (0, -1, -2, 4, 5)

  • Write B as a vector of dimension 5 by adding three zeros: B = (2, 4, 0, 0, 0)

  • Apply the formula for the cross product to get:

    • (0, -1, -2, 4, 5) x (2, 4, 0, 0, 0)

    • = (-2(5) - 4(-4), -2(0) - 0(0), 4(4) - 0(-1))

    • = (-18, 0, 17)



  • The resulting vector is (-18, 0, 17)

  • The answer is the set of all possible values of (-18, 0, 17) which is option (c) {(2,2), (4,2), (4,4), (4,5)}

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If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2...
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If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer?
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If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer?.
Solutions for If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer?, a detailed solution for If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer? has been provided alongside types of If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If A = (1,2,3,4,5), B = (2,4) and C = (1,3,5) then (A - C) x B isa){(2,2), (2,4), (4,2), (4,4), (5,2), (5,4)}b){(1,2), (1,4), (3,2), (3,4), (5,2), (5,4)}c){(2,2), (4,2), (4,4), (4,5)}d){(2,2), (2,4), (4,2), (4,4)}Correct answer is 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
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