Let \overrightarrow{ {\a}=2 { {\i}}^{\^}+ { {\j}}^{\^}+ { {\k}}^{\^}, and \overrightarrow{ {\b} and \overrightarrow{ {\c} be two nonzero vectors such that |\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}|=|\overrightarrow{a}+\overrightarrow{b}-\overrightarrow{c}| and \overrightarrow{b} . \overrightarrow{c}=0. Consider the following two statement: (A) |\overrightarrow{ {\a}+\lambda \overrightarrow{ {\c}| \geq|\overrightarrow{ {\a}| for all \lambda \in \mathbb{R}. (B) \overrightarrow{a} and \overrightarrow{c} are always parallel [31-Jan-2023 Shift 1]

Correct Answer is : only (A) is correct

neither ( {\A}) nor ( {\B}) is correct

Vector Algebra Part 2

Section: Mathematics

Question : 35 of 100

Marks: +1, -0

Let

→

=2‌

+‌

, and

→

and

→

be two nonzero vectors such that |

→

|=|

→

−

→

| and

→

=0. Consider the following two statement:
(A) |

→

+λ

→

|≥|

→

| for all λ∈ℝ.
(B)

→

and

→

are always parallel

[31-Jan-2023 Shift 1]

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