mam i have a question that in Q10 part 2nd me interior angles find krte hoe hm ne cos of angle kuen kia ??? hm sin of angle bhi to use kr skte thai??? then why we use cos of angle???plz clear..
The cross product’s result is a vector, while the dot product is a scalar. For angle calculations, especially in 2D problems (like triangles in a plane), we’re interested in the angle measure alone, not any directional vector. Using the cross product requires further steps to extract the angle, making it more complex and less practical. In triangles, we often focus on the magnitude of angles, so the dot product is simpler and directly suited for such scalar calculations.
Q 15 part i and ii Both have no solutions Coz if you solve last 3 equations by cramer rule det=0 So these equations are singular and have no solution or empty set
Thanks for sharing this video ❤
Ma'am Samrina, you are an amazing lecturer, your lecturers are outstanding and very professional ❤❤❤
Ma'am thank you for sharing this video ❤❤❤
Thanks ma'am for teaching these exercises, I had problem finding other lectures, but thanks to you I was able to clear my concepts 💗
Welcome beta, stay blessed always ameen 🌹
Finally, ma'am samrina , you upload remaining exercise, kindly upload next exercise soon thanks❤
Amazing teaching method mam🎉
Thank you, stay blessed always ameen ❤️
Thanks mam, upload ex 3.4 as well
Ma'am kindly upload chapter 4, I will be thankful
mam i have a question that in Q10 part 2nd me interior angles find krte hoe hm ne cos of angle kuen kia ??? hm sin of angle bhi to use kr skte thai??? then why we use cos of angle???plz clear..
Beta dot product Kay formula ma cos use Hota ha, that's why, we find interior angle by using cos.
@learnmathandrise922 mam I mean k interior angles find krne k lia dot product se krna zarori hai ya cross product wale formula se bhi kr skte hain?
The cross product’s result is a vector, while the dot product is a scalar. For angle calculations, especially in 2D problems (like triangles in a plane), we’re interested in the angle measure alone, not any directional vector. Using the cross product requires further steps to extract the angle, making it more complex and less practical.
In triangles, we often focus on the magnitude of angles, so the dot product is simpler and directly suited for such scalar calculations.
@@learnmathandrise922 ok thank you so much mam 💕
Q 15 part i and ii
Both have no solutions
Coz if you solve last 3 equations by cramer rule det=0
So these equations are singular and have no solution or empty set
Yes beta , I just saw which question you are referring to. That's why it has infinitely many solutions. Stay blessed always ⭐⭐⭐
amazing
Mam in which academy or in college you teach
Teacher g can you please do chapter 6😭🙌🏻🙌🏻
Chapter 6 per bhi puhanch bhi gayay
@@learnmathandrise922 Hamare SIr ny ch 7 Complete karwa diya 🤓
Mam muga lagta ha ka ma na ap ko dekha ha ap aps ma to ni parhati hamza camp ma. Agar ma khalat na ho to
No, but in another Aps college