Download App

VECTOR ALGEBRA — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsVECTOR ALGEBRA1 Mark
Question
Answer the following as true or false.
Two collinear vectors having the same magnitude are equal.
✓

Answer

False $[\because$ Vectors $\vec{a}\ \text{and}-\vec{a}\left\{=(-1) \vec{a}=\vec{ma}\right\}$ are collinear vectors and $\Big|\vec{a}\Big|=\Big|-\vec{a}\Big|$ but we know that $\vec{a}\neq-\vec{a}$ because their directions are opposite.]

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "True False[1 Marks ]" from VECTOR ALGEBRA→VECTOR ALGEBRA — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Which of the following statements are True or False.
If each of the three matrices of the same order are symmetric, then their sum is a symmetric matrix.
→
State True or False for the statements of the following Exercise:
$|A^{-1}| \neq |A|^{-1},$ where A is non-singular matrix.
→
State True or False for the statements of the following Exercise:
$\big(\text{aA})^{-1}-\frac{1}{\text{a}}\text{A}^{-1},$ where a is any real number and A is a square matrix.
→
State True or False for the following:
The angle between the planes $\vec{\text{r}}\cdot(2\hat{\text{i}}-3\hat{\text{j}}+\text{k})=1$ and $\vec{\text{r}}\cdot(\hat{\text{i}}-\hat{\text{j}})=4$ is $\cos^{-1}\Big(\frac{-5}{\sqrt{58}}\Big).$
→
State True or False for the statements:
If A and B′ are independent events, then $\text{P}(\text{A}'\cup\text{B})=1-\text{P}(\text{A})\text{P}(\text{B'}).$
→
State True or False for the statements:
If f.g is continuous at x = a, then f and g are separately continuous at x = a.
→
State True or False for the statements:
If A and B are two events such that P(A) > 0 and P(A) + P(B) >1, then $\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)\geq1-\frac{\text{P}(\text{B}')}{\text{P}(\text{A})}.$
→
State True or False for the statements:
Two independent events are always mutually exclusive.
→
State True or False for the statements:
If A and B are two events such that P(A) > 0 and P(A) + P(B) >1, then $\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)\geq1-\frac{\text{P}(\text{B}')}{\text{P}(\text{A})}.$
→
State True or False for the statement.
The value of the expression $(\cos^{-1}x)^2$ is equal to $\sec^2x.$
→