Answer (Detailed Solution Below)
Option 4 : 89°
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UP TGT Arts Full Test 1
125 Qs.
500 Marks
120 Mins
Detailed Solution
Download Solution PDFCONCEPT:
The dot product of two vectors
- The dot product or scalar product is the sum of the products of the corresponding entries of the two sequences of numbers.
- Geometrically, it is the product of the Euclidean magnitudes of the two vectors and the cosine of the angle between them.
- Let the two vectors are A and B then dot Product of two vectors:
⇒ A⋅B = |A||B| cos θ
Where |A| = Magnitude of vectors A and |B| = Magnitude of vectors B and θ is the angle between A and B.
The above equation can be rewritten as:
- The dot product of unit vectors
CALCULATION:
Given- The two vectors are
- The dot product of given vectors:
- The magnitude of vector A:
- The magnitude of vector B:
- The angle between vectors A and B:
Important Points
- Cross product of unit vectors
Last updated on May 6, 2025
-> The UP TGT Exam for Advt. No. 01/2022 will be held on 21st & 22nd July 2025.
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