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NDA Math Vector Algebra

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Consider the following for the next two (02) items that follow:

Let

\vec{a}=\hat{i}+\hat{j},\vec{b}=\hat{3i}+\hat{4k}

and

\vec{b}=\vec{c}+\vec{d}

,where

\vec{c}

is parallel to

\vec{a}

and

\vec{d}

is perpendicular to

\vec{a}

[NDA II 2016]

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Question : 62 of 101

Marks: +1, -0

If

\vec{d}=\hat{xi}+\hat{yj}+\hat{zk}

, then which of the following equations is/are correct?

y-x=4

2z-3=0

Select the correct answer using the code given below:

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Solution:

Since

z=4

and

x=\frac{3}{2},\ y=-\frac{3}{2}

So, neither 1 nor 2 is correct.

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