UNIT VECTOR | VECTOR MULTIPLICATION WITH SCALAR | MATHEMATICAL TOOLS CLASS 11 | PHYSICS SPIRAL MINDS

Описание: Welcome again on Spiral Minds , a YouTube channel aimed at helping students in Class 11 and 12 with their physics studies.
for vector properties and angle between vectors -    • PROPERTIES OF VECTORS | MATHEMATICAL TOOLS...  
for introduction to vectors-    • VECTORS INTRODUCTION | MATHEMATICAL TOOLS ...  
for errors and measurements -    • ERRORS AND MEASUREMENT  
for sig fig algebra rules and rounding off -    • ALGEBRA OF SIGNIFICANT FIGURES  | ROUND OF...  
for significant numbers -    • SIGNIFICANT FIGURES | ERRORS AND MEASUREME...  
for units and dimensions -    • Плейлист  
for motion in 1-d --    • motion in 1-d complete videos | straight l...  
For differentiation -    • BASIC OF DIFFERENTIATION FOR PHYSICS  
For integration -    • BASICS OF INTEGRATION FOR PHYSICS  
ABOUT VIDEO 👇
A unit vector is a vector that has a magnitude of 1 and points in a specific direction. In three-dimensional space, a unit vector is typically denoted as "i," "j," or "k" when it points along the x-axis, y-axis, or z-axis, respectively. Unit vectors are used to represent directions without the influence of magnitude.

Mathematically, if u is a vector, then its corresponding unit vector û is given by:

û = u / ||u||

Here, ||u|| represents the magnitude of the vector u.

MULTIPLICATION OF VECTORS WITH SCALAR-
When you multiply a vector by a scalar, each component of the vector is scaled by the scalar value. Mathematically, if v is a vector and "a" is a scalar, then the scalar multiplication is defined as:

w = a v

Here, w is the resulting vector whose components are obtained by multiplying each component of v by the scalar "a".

In summary:

A unit vector is a vector with a magnitude of 1 that points in a specific direction.
The multiplication of a vector by a scalar involves scaling each component of the vector by the scalar value.





By covering these topics, spiral minds provide comprehensive preparation material for class 11 and class 12 CBSE students preparing for JEE, NEET, and NDA exams, who need a good understanding on various topics of physics
#unitvector #scalarmultiplication #mathematicaltools #class11physics #chandrayaan3 #physicsbyanshu #numericals #spiralminds #concept #anshu #ncert #jee #neet #nda