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

Similar questions

State True or False for the statements:
If A and B are independent, then.
P (exactly one of A, B occurs) = P(A)P(B') + P(B)P(A')
Which of the following statements are True or False.
Matrices of different order can not be subtracted.
State True or False for the statements of the following Exercise$: |$adj$.A| = |A|^2,$ where $A$ is a square matrix of order two.
State True or False for the statements of the following Exercise:
$\begin{vmatrix}\text{x}+1&\text{x}+2&\text{x}+\text{a}\\\text{x}+2&\text{x}+3&\text{x}+\text{b}\\\text{x}+3&\text{x}+4&\text{x}+\text{c}\end{vmatrix}=0,$ where a, b, c are in A.P.
Which of the following statements are True or False.If $\text{A}=\begin{bmatrix}2&3&-1\\1&4&2\end{bmatrix}$ and $\text{B}=\begin{bmatrix}2&3\\4&5\\2&1\end{bmatrix},$ then AB and BA are defined and equal.
Which of the following statements are True or False.
If matrix AB = 0, then A = 0 or B = 0 or both A and B are null matrices.
Two collinear vectors are always equal in magnitude.
State True or False for the following:
Integrating factor of the differential of the form $\frac{\text{dy}}{\text{dx}}+\text{P}_1\text{x}=\text{Q}_1$ is given by $\text{e}^{\text{P}_1\text{dy}}.$
Which of the following statements are True or False.
AA′ is always a symmetric matrix for any matrix A.
State True or False for the following:
Solution of the differential equation of the type $\frac{\text{dy}}{\text{dx}}+\text{P}_1\text{x}=\text{Q}_1$ is given by $\text{x.I.F.}=\int(\text{I.F.})\times\text{Q}_1\text{dy}.$