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`        define the scalar and vector product of two vectors a and b. if for three non zero vectors a, b and c, a.b=a.c and a*b=a*c then show that b=c. `
one year ago

```							Scalar product is a special technique of multiplying two vectors. As the name suggests, we get a scalar quantity after multiplication. Scalar product is also known as dot product (since it is denoted by a dot between the vectors) or inner product. This is an operation which intakes two vector quantities and returns a single scalar quantity after the multiplication. The scalar product can be found either geometrically or algebraically
```
one year ago Shashank Singh
57 Points
```							a.b= ab cos<theta>a.c=ac cos<phi>cos<theta>= c/b cos<phi>.............   (1)similarlyIa*bI= ab sin<theta>Ia*cI= ac sin<phi>sin<theta>=c/b sin<phi>..................   (2)on squaring and adding (1) and (2), we get1= c^2/b^2c^2= b^2so c=b..........  [ans}
```
one year ago
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### Course Features

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• Revision Notes
• Test paper with Video Solution
• Mind Map
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• NCERT Solutions
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• Previous Year Exam Questions