নিচের তথ্যের আলোকে প্রশ্নের উত্তর দাও : [গণিত] এবং [গণিত] নিচের কোনটি?
ক. [গণিত]
খ. [গণিত]
গ. [গণিত]
ঘ. [গণিত]
উত্তর: [গণিত]
ব্যাখ্যা: This appears [গণিত] be a multiple-choice question asking for the cross product of two vectors, [গণিত] and [গণিত] . The correct option would be the result of the calculation [গণিত] . --- ### Vector Cross Product Calculation The given vectors are: * [গণিত] * [গণিত] We need [গণিত] calculate [গণিত] . The cross product can be calculated using a determinant matrix: $ [গণিত] = [গণিত] & [গণিত] & [গণিত] 1 & 2 & -1 1 & -1 & 1 [গণিত] $ Now, we expand the determinant: * For the [গণিত] component: [গণিত] * For the [গণিত] component: [গণিত] * For the [গণিত] component: [গণিত] Combining the components, we get the result: [গণিত] --- ### Alternative Method (Using properties of cross product) We know that the cross product is anticommutative, which means [গণিত] . Let's calculate [গণিত] first, as it is often the standard calculation. $ [গণিত] = [গণিত] & [গণিত] & [গণিত] 1 & -1 & 1 1 & 2 & -1 [গণিত] $ * For the [গণিত] component: [গণিত] * For the [গণিত] component: [গণিত] * For the [গণিত] component: [গণিত] So, [গণিত] . Now, taking the negative of this result gives us [গণিত] : [গণিত] Both methods yield the same result. The correct answer is ** [গণিত] **.
HSC Physics 1st Paper Chapter 2 : ভেক্টর MCQ — Prosthuti প্রশ্নব্যাংক
HSC · Physics 1st Paper · Chapter 2 : ভেক্টর · MCQ
নিচের তথ্যের আলোকে প্রশ্নের উত্তর দাও : এবং নিচের কোনটি?
- ক.
- খ.
- গ.
- ঘ.
উত্তর