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I {|{{a}}|}={{{3}}} {|{{b}}|}={2} and {{a}} { }{{b}}={{{3},}}

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I $∣ a ∣ = 3 ∣ ∣ b ∣ ∣ = 2$ and $a ˙ b = 3,$ find the angle between $a$ and $b$

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Noah Discussed

∣ a ∣ = 3 ∣ ∣ b ∣ ∣ = 2

and

a ˙ b = 3,

find the angle between

a

and

b

11 mins ago

Discuss this question LIVE

11 mins ago

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Practice questions from similar books

Question 1

P

and

Q

are two points with position vectors

3 a - 2 b

and

a + b

respectively. Write the position vector of a point R which divides the line segment PQ in the ratio 2:1 externally.

View solution

Question 2

Write the direction cosines of the vector

- 2 \hat{i} + \hat{j} - 5 \hat{k}

View solution

Question 3

Given four points

P_{1}, P_{2}, P_{3} a n d P_{4}

on the coordinate plane with origin

O

which satisfy the condition

(O P)_{n - 1} + (O P)_{n + 1} = \frac{3}{2} O P_{n}

(i) If P1 and P2 lie on the curve xy=1 , then prove that P3 does not lie on the curve (ii) If P1,P2,P3 lie on a circle

x^{2} + y^{2} = 1

, then prove that P4 also lies on this circle.

View solution

Question 4

Let

A

be a vector parallel to the line of intersection of planes

P_{1} a n d P_{2} ˙

Plane

P_{1}

is parallel to vectors

2 \hat{j} + 3 \hat{k} a n d 4 \hat{j} - 3 k a n d P_{2}

is parallel to

\hat{j} - \hat{k} a n d 3 \hat{i} + 3 \hat{j} ˙

Then the angle betweenvector

A

and a given vector

2 \hat{i} + \hat{j} - 2 \hat{k}

is a.

π / 2

π / 4

π / 6

3 π / 4

View solution

Question Text

∣ a ∣ = 3 ∣ ∣ b ∣ ∣ = 2

and

a ˙ b = 3,

find the angle between

a

and

b

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I ∣a∣=3​ ∣∣​b∣∣​=2 and a ˙b=3,​ find the angle between aand b

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Practice questions from similar books

I $∣ a ∣ = 3 ∣ ∣ b ∣ ∣ = 2$ and $a ˙ b = 3,$ find the angle between $a$ and $b$