CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Addition of Vectors

If |a⃗|=10,|b...

Question

If $| \to a | = 10, ∣ ∣ \to b ∣ ∣ = 2 a n d \to a . \to b = 12$ , then the value of $∣ ∣ \to a \times \to b ∣ ∣ =$

A

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

14

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

16

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
16

${(¯ a . \to b)}^{2} + ∣ ∣ ¯ a \times \to b ∣ ∣ = {| ¯ a |}^{2} {∣ ∣ \to b ∣ ∣}^{2} \Rightarrow 144 + ∣ ∣ ¯ a \times \to b ∣ ∣ = 100 \times 4 {∣ ∣ ¯ a \times \to b ∣ ∣}^{2} = 256 ∣ ∣ ¯ a \times \to b ∣ ∣ = 16$

Suggest Corrections

thumbs-up

1

Similar questions

If $\to a = 10, \to b = 2 a n d \to a . \to b = 12, t h e n t h e v a l u e o f | \to a \times \to b |$ is

(a) 5 (b) 10 (c) 14 (d) 16

| \to a | = 10, | \to b | = 2

\to a . \to b = 12

, then what is the value of

| \to a \times \to b |

\to A \cdot \to B

| \to A | = 2, | \to B | = 5

| \to A \times \to B | = 8

| \to a \times \to b | = 5

| \to a \cdot \to b | = 3

| \to a |^{2} | \to b |^{2}

Nonzero vectors $\to a, \to b, \to c$ satisfy $\to a . \to b$ =0, $(\to b - \to a) . (\to b + \to c)$ = 0 and 2 $| \to b + \to c | = | \to b - \to a |$ .

If = $\to a = μ \to b + 4 \to c$ then $μ$ = ______

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Vector Addition

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Addition of Vectors

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon