1
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

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

A
2$$\sqrt5$$
B
2$$\sqrt2$$
C
10$$\sqrt5$$
D
5$$\sqrt2$$
2
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

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

A
a . b = 0, b . c = 0
B
b . c = 0, c . a = 0
C
c . a = 0, a . b = 0
D
a . b = b . c = c . a = 0
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