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Question

Mathematics Question on Vectors

Let λZ,a=λiˆ+jˆ=/kλλ∈Z ,→a=λ\^i+\^j =/^ k λ ∈ and b=3iˆjˆ+2kˆ\overrightarrow{ b} = 3 \^i− \^j + 2 \^k . be a vector such that ( a+b+c\overrightarrow{ a}+\overrightarrow{ b}+\overrightarrow{ c} ) × c=0,a.c\overrightarrow{ c}=\overrightarrow{ 0},\overrightarrow{ a}.\overrightarrow{ c} and b.C=20\overrightarrow{ b}.\overrightarrow{ C}=-20 Then c+(λiˆ+jˆ+kˆ)2| \overrightarrow{c} + ( λ \^i + \^j + \^k ) | ^2 is equal to

A

46

B

49

C

53

D

62

Answer

46

Explanation

Solution

The correct option is(A): 46