The dot product of two vectors of magnitude 3 units and 5 units cant be?of magnitude 3 units and 5 units cant be?
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Answer:
15≤
A
→
.
B
→
≤15
Explanation:
Dot product of two vectors
A
→
.
B
→
=
∣
∣
∣
∣
A
→
∣
∣
∣
∣
∣
∣
∣
∣
B
→
∣
∣
∣
∣
cosθ
since −1≤cosθ≤1
−
∣
∣
∣
∣
A
→
∣
∣
∣
∣
∣
∣
∣
∣
B
→
∣
∣
∣
∣
≤
A
→
.
B
→
≤
∣
∣
∣
∣
A
→
∣
∣
∣
∣
∣
∣
∣
∣
B
→
∣
∣
∣
∣
For the given question:
dot product of two vectors of magnitude 3 and 5 units will be:
−15≤
A
→
.
B
→
≤15
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