BITSAT 2021 | Vector Algebra Question 3 | Mathematics

Let a, b, c be vectors of lengths 3, 4, 5 respectively and a be perpendicular to (b + c), b to (c + a) and c to (a + b), then the value of (a + b + c) is

2$$\sqrt5$$

2$$\sqrt2$$

10$$\sqrt5$$

5$$\sqrt2$$

BITSAT 2021

MCQ (Single Correct Answer)

-1

For non-zero vectors a, b, c; |(a $$\times$$ b) . c| = |a| |b| |c| holds if and only if

a . b = 0, b . c = 0

b . c = 0, c . a = 0

c . a = 0, a . b = 0

a . b = b . c = c . a = 0

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