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সিভিল ইঞ্জিনিয়ারিং

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801. MCQPractice set · Question 9

î·ĵ-এর মান কত?

a.
1
b.
0
c.
îĵ
d.
−1

Correct answer: b

î ও ĵ perpendicular, তাই dot product zero।

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802. MCQPractice set · Question 10

ĵ·k̂-এর মান কত?

a.
1
b.
0
c.
ĵ+k̂
d.
−1

Correct answer: b

ĵ ও k̂ perpendicular, তাই তাদের dot product 0।

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803. MCQPractice set · Question 11

k̂·î-এর মান কত?

a.
1
b.
0
c.
d.
−1

Correct answer: b

k̂ ও î perpendicular, তাই dot product zero।

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804. MCQPractice set · Question 12

Dot product-এর commutative property কোনটি?

a.
A·B=B·A
b.
A·B=−B·A
c.
A·B=A+B
d.
A·B=A×B

Correct answer: a

Scalar product commutative; order বদলালেও ফল একই।

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805. MCQPractice set · Question 13

Dot product distributive কি?

a.
A·(B+C)=A·B+A·C
b.
A·(B+C)=A·B×A·C
c.
A·(B+C)=A+B+C
d.
কখনো নয়

Correct answer: a

Dot product vector addition-এর উপর distributive।

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806. MCQPractice set · Question 14

একটি vector-এর নিজের সঙ্গে dot product কী?

a.
A
b.
|A|²
c.
0
d.
2A

Correct answer: b

A·A=|A||A|cos0°=|A|²।

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807. MCQPractice set · Question 15

A·A=25 হলে |A| কত?

a.
5
b.
25
c.
√5
d.
0

Correct answer: a

A·A=|A|²=25, তাই |A|=5।

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808. MCQPractice set · Question 16

A·B=0 হলে non-zero vectors A ও B-এর সম্পর্ক কী?

a.
parallel
b.
perpendicular
c.
same vector
d.
opposite

Correct answer: b

Non-zero vectors-এর dot product zero হলে cosθ=0, তাই θ=90°।

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809. MCQPractice set · Question 17

A·B positive হলে angle সাধারণত কেমন?

a.
acute
b.
right
c.
obtuse
d.
180° only

Correct answer: a

Dot product positive মানে cosθ positive, তাই angle acute।

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810. MCQPractice set · Question 18

A·B negative হলে angle সাধারণত কেমন?

a.
acute
b.
right
c.
obtuse
d.
zero

Correct answer: c

Dot product negative মানে cosθ negative, তাই angle obtuse।

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