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Let MN⃗MN⃗MN⃗ MO⃗MO⃗MO⃗ and ON⃗ON⃗ON⃗ are three vectors, according to Chasles' relation what is the relation between them?
MN⃗=MN⃗+ON⃗MN⃗=MN⃗+ON⃗MN⃗=MN⃗+ON⃗
MO⃗=MO⃗+ON⃗MO⃗=MO⃗+ON⃗MO⃗=MO⃗+ON⃗
MN⃗=MO⃗+ON⃗MN⃗=MO⃗+ON⃗MN⃗=MO⃗+ON⃗
Complete:
Chasle’s relation is a fundamental concept in the study of____.
Trigonometry.
Calculus.
Linear algebra.
What is the result of vector sum AC⃗+CD⃗AC⃗+CD⃗AC⃗+CD⃗ according to Chasles' relation?
AD⃗AD⃗AD⃗
AC⃗AC⃗AC⃗
CD⃗CD⃗CD⃗
If vectors U and V have the same initial point, what is the relation between UV and VU according to Chasles' relation?
2U
2V
0
Chasles' relation deals with the addition of ____.
Scalars.
Matrices.
Vectors.
In which study Chasles' relation is often used?
Kinematics.
Thermodynamics.
Fluid dynamics
Which rule is used in Chasles' relation for the representation of vectors?
Parallelogram rule.
Triangle rule.
Midpoint rule.
Fill in the blank
In Chasles' relation, any vector is represented as____ of two vectors.
Sum
Product
Multiple
In Chasles relation the order in which vectors are added ______ the result.
Does not effect
Effect
May or may not effect
How we represent AC⃗AC⃗AC⃗ vector in Chasles' relation؟
AC⃗=AB⃗+BC⃗AC⃗=AB⃗+BC⃗AC⃗=AB⃗+BC⃗
AC⃗=AC⃗+BC⃗AC⃗=AC⃗+BC⃗AC⃗=AC⃗+BC⃗
AD⃗=AB⃗+BC⃗AD⃗=AB⃗+BC⃗AD⃗=AB⃗+BC⃗
It is done.