Let \overrightarrow{a}=a_1 \stackrel{\^}{i}+a_2 \stackrel{\^}{j}+a_3 \widehat{k} a_i>0, i=1,2,3 be a vector which makes equal angles with the coordinate axes OX, OY and OZ. Also, let the projection of \overrightarrow{a} on the vector 3 \stackrel{\^}{i}+4 \stackrel{\^}{j} be 7. Let \overrightarrow{b} be a vector obtained by rotating \overrightarrow{a} with 90^{\circ}. If \overrightarrow{a}, \overrightarrow{b} and x-axis are coplanar, then projection of a vector \overrightarrow{b} on 3 \stackrel{\^}{i}+4 \stackrel{\^}{j} is equal to: [25-Jun-2022-Shift-1]

JEE Main 25 June 2022 Shift 1 Solved Paper

Section: Mathematics

Question : 14 of 90

Marks: +1, -0

Let

→

=a1

+a2

+a3‌widehat‌k‌ai>0,i=1,2,3 be a vector which makes equal angles with the coordinate axes OX, OY and OZ. Also, let the projection of

→

on the vector 3

be 7. Let

→

be a vector obtained by rotating

→

with 90∘. If

→

and x-axis are coplanar, then projection of a vector

→

on 3

is equal to:

[25-Jun-2022-Shift-1]

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