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Question:
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Consider the following :
$1.$ $\quad 4 \hat{\mathrm{i}} \times 3 \hat{\mathrm{i}}=\overrightarrow{0}$
$2.$ $\frac{4 \hat{\mathrm{i}}}{3 \hat{\mathrm{i}}}=\frac{4}{3}$
Which of the above is/are correct ?
Options:
$1.$ $\quad 4 \hat{\mathrm{i}} \times 3 \hat{\mathrm{i}}=\overrightarrow{0}$
$2.$ $\frac{4 \hat{\mathrm{i}}}{3 \hat{\mathrm{i}}}=\frac{4}{3}$
Which of the above is/are correct ?
Solution:
1866 Upvotes
Verified Answer
The correct answer is:
1 only
Statement $(1): 4 \hat{\mathrm{i}} \times 3 \hat{\mathrm{i}}=0$
It is a true statement
$(\because \hat{\mathrm{i}} \times \hat{\mathrm{i}}=0)$
Statement $(2): \frac{4 \hat{\mathrm{i}}}{3 \hat{\mathrm{i}}}=\frac{4}{3}$
It is a incorrect statement
$\because \quad \frac{4 \hat{\mathrm{i}}}{3 \hat{\mathrm{i}}}=\frac{4}{3} \hat{\mathrm{i}}$
It is a true statement
$(\because \hat{\mathrm{i}} \times \hat{\mathrm{i}}=0)$
Statement $(2): \frac{4 \hat{\mathrm{i}}}{3 \hat{\mathrm{i}}}=\frac{4}{3}$
It is a incorrect statement
$\because \quad \frac{4 \hat{\mathrm{i}}}{3 \hat{\mathrm{i}}}=\frac{4}{3} \hat{\mathrm{i}}$
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