Let three vectors {{a^{\to}}},{{b^{\to}}} and \overrightarrow{{c}} be such that \overrightarrow{{a}} \\times\overrightarrow{{b}}=\overrightarrow{{c}},\overrightarrow{{b}} \\times \overrightarrow{{c}}=\overrightarrow{{a}} and |\overrightarrow{{a}}|=2 . Then which one of the following is not true? [22 Jul 2021 Shift 2]

Correct Answer is : |3→a+→b−2→c|2=51

{{a}}^{\to} \\times((\overrightarrow{{b}}+{{c}}^{\to}) \\times(\overrightarrow{{b}}-\overrightarrow{{c}}))=\overrightarrow{0}

Projection of \overrightarrow{a} on ({b} ^{\to}\\times\overrightarrow{c}) is 2

\[\table \overrightarrow{a} ,\overrightarrow{b},{c} ]+[\table {c} ^{\to},{a} ^{\to},\overrightarrow{b}]=8

|3 {a^{\to}}+{b^{\to}}-2 \overrightarrow{c}|^{2}=51

JEE Main 22 July 2021 Shift 2 Solved Paper

Section: Mathematics

Question : 68 of 90

Marks: +1, -0

Let three vectors

→

and

→

be such that

→

and |

→

|=2. Then which one of the following is not true?

[22 Jul 2021 Shift 2]

Go to Question:

Prev Question

Next Question